diff options
| author | Kazuhiko Sakaguchi | 2019-04-05 19:11:55 +0200 |
|---|---|---|
| committer | Kazuhiko Sakaguchi | 2019-04-08 10:25:00 +0200 |
| commit | a348deb229074be37ff31fd892a7d8835a49b566 (patch) | |
| tree | 89436516b4cdf64af87c477e9a034227d66c6c4c /mathcomp | |
| parent | 407b4c412d4a1324450d01fa09a41aad7673b1bf (diff) | |
New test cases generation: corrent implementation of least common children
Add a new option `-raw-inheritances` to `hierarchy-diagram` to generate an
intermediate file for `hierarchy_test.py`. So the typical usage is:
$ python3.5 etc/utils/hierarchy_test.py \
<(etc/utils/hierarchy-diagram -raw-inheritances -R mathcomp mathcomp) \
> mathcomp/test_suite/hierarchy_test.v
Diffstat (limited to 'mathcomp')
| -rw-r--r-- | mathcomp/test_suite/hierarchy_test.v | 2197 |
1 files changed, 1487 insertions, 710 deletions
diff --git a/mathcomp/test_suite/hierarchy_test.v b/mathcomp/test_suite/hierarchy_test.v index e806362..5ea8980 100644 --- a/mathcomp/test_suite/hierarchy_test.v +++ b/mathcomp/test_suite/hierarchy_test.v @@ -1,713 +1,1490 @@ (** Generated by etc/utils/hierarchy_test.py *) From mathcomp Require Import all. -Local Notation "FinRing.UnitAlgebra.type" := (FinRing.UnitAlgebra.type _). -Local Notation "GRing.Lalgebra.type" := (GRing.Lalgebra.type _). -Local Notation "FinRing.Lalgebra.type" := (FinRing.Lalgebra.type _). -Local Notation "FinRing.Algebra.type" := (FinRing.Algebra.type _). -Local Notation "FieldExt.type" := (FieldExt.type _). -Local Notation "GRing.UnitAlgebra.type" := (GRing.UnitAlgebra.type _). -Local Notation "FinRing.Lmodule.type" := (FinRing.Lmodule.type _). -Local Notation "GRing.Algebra.type" := (GRing.Algebra.type _). -Local Notation "SplittingField.type" := (SplittingField.type _). -Local Notation "Falgebra.type" := (Falgebra.type _). -Local Notation "GRing.Lmodule.type" := (GRing.Lmodule.type _). -Local Notation "Vector.type" := (Vector.type _). -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ArchimedeanField.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : FieldExt.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Falgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.RealClosedField.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ArchimedeanField.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumDomain.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumDomain.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FieldExt.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ClosedField.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : SplittingField.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Falgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumField.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitAlgebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumDomain.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Algebra.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lmodule.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ClosedField.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FieldExt.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.DecidableField.type) = (_ : Num.NumDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : CountRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : CountRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitAlgebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Ring.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : FinRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.RealDomain.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ArchimedeanField.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : Countable.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Algebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComUnitRing.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.IntegralDomain.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.NumField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComRing.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.DecidableField.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitAlgebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Zmodule.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumDomain.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : FinRing.Lmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : Finite.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComUnitRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumField.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Field.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : Finite.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ClosedField.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.ArchimedeanField.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Lalgebra.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.UnitAlgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ComRing.type) = (_ : CountRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lalgebra.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.RealClosedField.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Ring.type) = (_ : FinRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : Equality.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.Lalgebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitAlgebra.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.Lmodule.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Field.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.ComUnitRing.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinGroup.type) = (_ : FinRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Ring.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.IntegralDomain.type) = (_ : Vector.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitRing.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.Field.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.UnitRing.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : FinRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Num.NumField.type) = (_ : Num.RealDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.ArchimedeanField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.UnitAlgebra.type) = (_ : SplittingField.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : CountRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.DecidableField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.IntegralDomain.type) = (_ : FinGroup.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.UnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Falgebra.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : FinRing.ComRing.type) = (_ : GRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : FieldExt.type) = (_ : GRing.Zmodule.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Zmodule.type) = (_ : GRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : GRing.Zmodule.type) = (_ : Num.RealField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : FinRing.Ring.type) :> Type. Abort. -Goal False. have := erefl : (_ : Choice.type) = (_ : CountRing.ClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.UnitRing.type) = (_ : GRing.Algebra.type) :> Type. Abort. -Goal False. have := erefl : (_ : Countable.type) = (_ : GRing.ComRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : GRing.ComUnitRing.type) :> Type. Abort. -Goal False. have := erefl : (_ : Equality.type) = (_ : Num.RealClosedField.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.Field.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. -Goal False. have := erefl : (_ : CountRing.ClosedField.type) = (_ : CountRing.IntegralDomain.type) :> Type. Abort. +(* `check_join t1 t2 tjoin` assert that the join of `t1` and `t2` is `tjoin`. *) +Tactic Notation "check_join" + open_constr(t1) open_constr(t2) open_constr(tjoin) := + let T1 := open_constr:(_ : t1) in + let T2 := open_constr:(_ : t2) in + match tt with + | _ => unify ((id : t1 -> Type) T1) ((id : t2 -> Type) T2) + | _ => fail "There is no join of" t1 "and" t2 + end; + let Tjoin := + lazymatch T1 with + | _ (_ ?Tjoin) => constr: (Tjoin) + | _ ?Tjoin => constr: (Tjoin) + | ?Tjoin => constr: (Tjoin) + end + in + is_evar Tjoin; + let tjoin' := type of Tjoin in + lazymatch tjoin' with + | tjoin => lazymatch tjoin with + | tjoin' => idtac + | _ => idtac tjoin' + end + | _ => fail "The join of" t1 "and" t2 "is" tjoin' + "but is expected to be" tjoin + end. + +Local Notation "Falgebra.type" := (Falgebra.type _) (only parsing). +Local Notation "FieldExt.type" := (FieldExt.type _) (only parsing). +Local Notation "FinRing.Algebra.type" := (FinRing.Algebra.type _) (only parsing). +Local Notation "FinRing.Lalgebra.type" := (FinRing.Lalgebra.type _) (only parsing). +Local Notation "FinRing.Lmodule.type" := (FinRing.Lmodule.type _) (only parsing). +Local Notation "FinRing.UnitAlgebra.type" := (FinRing.UnitAlgebra.type _) (only parsing). +Local Notation "GRing.Algebra.type" := (GRing.Algebra.type _) (only parsing). +Local Notation "GRing.Lalgebra.type" := (GRing.Lalgebra.type _) (only parsing). +Local Notation "GRing.Lmodule.type" := (GRing.Lmodule.type _) (only parsing). +Local Notation "GRing.UnitAlgebra.type" := (GRing.UnitAlgebra.type _) (only parsing). +Local Notation "SplittingField.type" := (SplittingField.type _) (only parsing). +Local Notation "Vector.type" := (Vector.type _) (only parsing). + +Goal False. +check_join Choice.type Choice.type Choice.type. +check_join Choice.type CountRing.ClosedField.type CountRing.ClosedField.type. +check_join Choice.type CountRing.ComRing.type CountRing.ComRing.type. +check_join Choice.type CountRing.ComUnitRing.type CountRing.ComUnitRing.type. +check_join Choice.type CountRing.DecidableField.type CountRing.DecidableField.type. +check_join Choice.type CountRing.Field.type CountRing.Field.type. +check_join Choice.type CountRing.IntegralDomain.type CountRing.IntegralDomain.type. +check_join Choice.type CountRing.Ring.type CountRing.Ring.type. +check_join Choice.type CountRing.UnitRing.type CountRing.UnitRing.type. +check_join Choice.type CountRing.Zmodule.type CountRing.Zmodule.type. +check_join Choice.type Countable.type Countable.type. +check_join Choice.type Equality.type Choice.type. +check_join Choice.type Falgebra.type Falgebra.type. +check_join Choice.type FieldExt.type FieldExt.type. +check_join Choice.type FinGroup.type FinGroup.type. +check_join Choice.type FinRing.Algebra.type FinRing.Algebra.type. +check_join Choice.type FinRing.ComRing.type FinRing.ComRing.type. +check_join Choice.type FinRing.ComUnitRing.type FinRing.ComUnitRing.type. +check_join Choice.type FinRing.Field.type FinRing.Field.type. +check_join Choice.type FinRing.IntegralDomain.type FinRing.IntegralDomain.type. +check_join Choice.type FinRing.Lalgebra.type FinRing.Lalgebra.type. +check_join Choice.type FinRing.Lmodule.type FinRing.Lmodule.type. +check_join Choice.type FinRing.Ring.type FinRing.Ring.type. +check_join Choice.type FinRing.UnitAlgebra.type FinRing.UnitAlgebra.type. +check_join Choice.type FinRing.UnitRing.type FinRing.UnitRing.type. +check_join Choice.type FinRing.Zmodule.type FinRing.Zmodule.type. +check_join Choice.type Finite.type Finite.type. +check_join Choice.type GRing.Algebra.type GRing.Algebra.type. +check_join Choice.type GRing.ClosedField.type GRing.ClosedField.type. +check_join Choice.type GRing.ComRing.type GRing.ComRing.type. +check_join Choice.type GRing.ComUnitRing.type GRing.ComUnitRing.type. +check_join Choice.type GRing.DecidableField.type GRing.DecidableField.type. +check_join Choice.type GRing.Field.type GRing.Field.type. +check_join Choice.type GRing.IntegralDomain.type GRing.IntegralDomain.type. +check_join Choice.type GRing.Lalgebra.type GRing.Lalgebra.type. +check_join Choice.type GRing.Lmodule.type GRing.Lmodule.type. +check_join Choice.type GRing.Ring.type GRing.Ring.type. +check_join Choice.type GRing.UnitAlgebra.type GRing.UnitAlgebra.type. +check_join Choice.type GRing.UnitRing.type GRing.UnitRing.type. +check_join Choice.type GRing.Zmodule.type GRing.Zmodule.type. +check_join Choice.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Choice.type Num.ClosedField.type Num.ClosedField.type. +check_join Choice.type Num.NumDomain.type Num.NumDomain.type. +check_join Choice.type Num.NumField.type Num.NumField.type. +check_join Choice.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Choice.type Num.RealDomain.type Num.RealDomain.type. +check_join Choice.type Num.RealField.type Num.RealField.type. +check_join Choice.type SplittingField.type SplittingField.type. +check_join Choice.type Vector.type Vector.type. +check_join CountRing.ClosedField.type Choice.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.ClosedField.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.ComRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.ComUnitRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.DecidableField.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.Field.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.IntegralDomain.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.Ring.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.UnitRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type CountRing.Zmodule.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type Countable.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type Equality.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.ClosedField.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.ComRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.ComUnitRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.DecidableField.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.Field.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.IntegralDomain.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.Ring.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.UnitRing.type CountRing.ClosedField.type. +check_join CountRing.ClosedField.type GRing.Zmodule.type CountRing.ClosedField.type. +check_join CountRing.ComRing.type Choice.type CountRing.ComRing.type. +check_join CountRing.ComRing.type CountRing.ClosedField.type CountRing.ClosedField.type. +check_join CountRing.ComRing.type CountRing.ComRing.type CountRing.ComRing.type. +check_join CountRing.ComRing.type CountRing.ComUnitRing.type CountRing.ComUnitRing.type. +check_join CountRing.ComRing.type CountRing.DecidableField.type CountRing.DecidableField.type. +check_join CountRing.ComRing.type CountRing.Field.type CountRing.Field.type. +check_join CountRing.ComRing.type CountRing.IntegralDomain.type CountRing.IntegralDomain.type. +check_join CountRing.ComRing.type CountRing.Ring.type CountRing.ComRing.type. +check_join CountRing.ComRing.type CountRing.UnitRing.type CountRing.ComUnitRing.type. +check_join CountRing.ComRing.type CountRing.Zmodule.type CountRing.ComRing.type. +check_join CountRing.ComRing.type Countable.type CountRing.ComRing.type. +check_join CountRing.ComRing.type Equality.type CountRing.ComRing.type. +check_join CountRing.ComRing.type FinGroup.type FinRing.ComRing.type. +check_join 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GRing.UnitRing.type SplittingField.type SplittingField.type. +check_join GRing.UnitRing.type Vector.type Falgebra.type. +check_join GRing.Zmodule.type Choice.type GRing.Zmodule.type. +check_join GRing.Zmodule.type CountRing.ClosedField.type CountRing.ClosedField.type. +check_join GRing.Zmodule.type CountRing.ComRing.type CountRing.ComRing.type. +check_join GRing.Zmodule.type CountRing.ComUnitRing.type CountRing.ComUnitRing.type. +check_join GRing.Zmodule.type CountRing.DecidableField.type CountRing.DecidableField.type. +check_join GRing.Zmodule.type CountRing.Field.type CountRing.Field.type. +check_join GRing.Zmodule.type CountRing.IntegralDomain.type CountRing.IntegralDomain.type. +check_join GRing.Zmodule.type CountRing.Ring.type CountRing.Ring.type. +check_join GRing.Zmodule.type CountRing.UnitRing.type CountRing.UnitRing.type. +check_join GRing.Zmodule.type CountRing.Zmodule.type CountRing.Zmodule.type. +check_join GRing.Zmodule.type Countable.type CountRing.Zmodule.type. +check_join GRing.Zmodule.type Equality.type GRing.Zmodule.type. +check_join GRing.Zmodule.type Falgebra.type Falgebra.type. +check_join GRing.Zmodule.type FieldExt.type FieldExt.type. +check_join GRing.Zmodule.type FinGroup.type FinRing.Zmodule.type. +check_join GRing.Zmodule.type FinRing.Algebra.type FinRing.Algebra.type. +check_join GRing.Zmodule.type FinRing.ComRing.type FinRing.ComRing.type. +check_join GRing.Zmodule.type FinRing.ComUnitRing.type FinRing.ComUnitRing.type. +check_join GRing.Zmodule.type FinRing.Field.type FinRing.Field.type. +check_join GRing.Zmodule.type FinRing.IntegralDomain.type FinRing.IntegralDomain.type. +check_join GRing.Zmodule.type FinRing.Lalgebra.type FinRing.Lalgebra.type. +check_join GRing.Zmodule.type FinRing.Lmodule.type FinRing.Lmodule.type. +check_join GRing.Zmodule.type FinRing.Ring.type FinRing.Ring.type. +check_join GRing.Zmodule.type FinRing.UnitAlgebra.type FinRing.UnitAlgebra.type. +check_join GRing.Zmodule.type FinRing.UnitRing.type FinRing.UnitRing.type. +check_join GRing.Zmodule.type FinRing.Zmodule.type FinRing.Zmodule.type. +check_join GRing.Zmodule.type Finite.type FinRing.Zmodule.type. +check_join GRing.Zmodule.type GRing.Algebra.type GRing.Algebra.type. +check_join GRing.Zmodule.type GRing.ClosedField.type GRing.ClosedField.type. +check_join GRing.Zmodule.type GRing.ComRing.type GRing.ComRing.type. +check_join GRing.Zmodule.type GRing.ComUnitRing.type GRing.ComUnitRing.type. +check_join GRing.Zmodule.type GRing.DecidableField.type GRing.DecidableField.type. +check_join GRing.Zmodule.type GRing.Field.type GRing.Field.type. +check_join GRing.Zmodule.type GRing.IntegralDomain.type GRing.IntegralDomain.type. +check_join GRing.Zmodule.type GRing.Lalgebra.type GRing.Lalgebra.type. +check_join GRing.Zmodule.type GRing.Lmodule.type GRing.Lmodule.type. +check_join GRing.Zmodule.type GRing.Ring.type GRing.Ring.type. +check_join GRing.Zmodule.type GRing.UnitAlgebra.type GRing.UnitAlgebra.type. +check_join GRing.Zmodule.type GRing.UnitRing.type GRing.UnitRing.type. +check_join GRing.Zmodule.type GRing.Zmodule.type GRing.Zmodule.type. +check_join GRing.Zmodule.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join GRing.Zmodule.type Num.ClosedField.type Num.ClosedField.type. +check_join GRing.Zmodule.type Num.NumDomain.type Num.NumDomain.type. +check_join GRing.Zmodule.type Num.NumField.type Num.NumField.type. +check_join GRing.Zmodule.type Num.RealClosedField.type Num.RealClosedField.type. +check_join GRing.Zmodule.type Num.RealDomain.type Num.RealDomain.type. +check_join GRing.Zmodule.type Num.RealField.type Num.RealField.type. +check_join GRing.Zmodule.type SplittingField.type SplittingField.type. +check_join GRing.Zmodule.type Vector.type Vector.type. +check_join Num.ArchimedeanField.type Choice.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Equality.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.ComRing.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.ComUnitRing.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.Field.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.IntegralDomain.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.Ring.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.UnitRing.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type GRing.Zmodule.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Num.NumDomain.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Num.NumField.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Num.RealDomain.type Num.ArchimedeanField.type. +check_join Num.ArchimedeanField.type Num.RealField.type Num.ArchimedeanField.type. +check_join Num.ClosedField.type Choice.type Num.ClosedField.type. +check_join Num.ClosedField.type Equality.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.ClosedField.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.ComRing.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.ComUnitRing.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.DecidableField.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.Field.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.IntegralDomain.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.Ring.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.UnitRing.type Num.ClosedField.type. +check_join Num.ClosedField.type GRing.Zmodule.type Num.ClosedField.type. +check_join Num.ClosedField.type Num.ClosedField.type Num.ClosedField.type. +check_join Num.ClosedField.type Num.NumDomain.type Num.ClosedField.type. +check_join Num.ClosedField.type Num.NumField.type Num.ClosedField.type. +check_join Num.NumDomain.type Choice.type Num.NumDomain.type. +check_join Num.NumDomain.type Equality.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.ClosedField.type Num.ClosedField.type. +check_join Num.NumDomain.type GRing.ComRing.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.ComUnitRing.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.DecidableField.type Num.ClosedField.type. +check_join Num.NumDomain.type GRing.Field.type Num.NumField.type. +check_join Num.NumDomain.type GRing.IntegralDomain.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.Ring.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.UnitRing.type Num.NumDomain.type. +check_join Num.NumDomain.type GRing.Zmodule.type Num.NumDomain.type. +check_join Num.NumDomain.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Num.NumDomain.type Num.ClosedField.type Num.ClosedField.type. +check_join Num.NumDomain.type Num.NumDomain.type Num.NumDomain.type. +check_join Num.NumDomain.type Num.NumField.type Num.NumField.type. +check_join Num.NumDomain.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Num.NumDomain.type Num.RealDomain.type Num.RealDomain.type. +check_join Num.NumDomain.type Num.RealField.type Num.RealField.type. +check_join Num.NumField.type Choice.type Num.NumField.type. +check_join Num.NumField.type Equality.type Num.NumField.type. +check_join Num.NumField.type GRing.ClosedField.type Num.ClosedField.type. +check_join Num.NumField.type GRing.ComRing.type Num.NumField.type. +check_join Num.NumField.type GRing.ComUnitRing.type Num.NumField.type. +check_join Num.NumField.type GRing.DecidableField.type Num.ClosedField.type. +check_join Num.NumField.type GRing.Field.type Num.NumField.type. +check_join Num.NumField.type GRing.IntegralDomain.type Num.NumField.type. +check_join Num.NumField.type GRing.Ring.type Num.NumField.type. +check_join Num.NumField.type GRing.UnitRing.type Num.NumField.type. +check_join Num.NumField.type GRing.Zmodule.type Num.NumField.type. +check_join Num.NumField.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Num.NumField.type Num.ClosedField.type Num.ClosedField.type. +check_join Num.NumField.type Num.NumDomain.type Num.NumField.type. +check_join Num.NumField.type Num.NumField.type Num.NumField.type. +check_join Num.NumField.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Num.NumField.type Num.RealDomain.type Num.RealField.type. +check_join Num.NumField.type Num.RealField.type Num.RealField.type. +check_join Num.RealClosedField.type Choice.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Equality.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.ComRing.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.ComUnitRing.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.Field.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.IntegralDomain.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.Ring.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.UnitRing.type Num.RealClosedField.type. +check_join Num.RealClosedField.type GRing.Zmodule.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Num.NumDomain.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Num.NumField.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Num.RealDomain.type Num.RealClosedField.type. +check_join Num.RealClosedField.type Num.RealField.type Num.RealClosedField.type. +check_join Num.RealDomain.type Choice.type Num.RealDomain.type. +check_join Num.RealDomain.type Equality.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.ComRing.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.ComUnitRing.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.Field.type Num.RealField.type. +check_join Num.RealDomain.type GRing.IntegralDomain.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.Ring.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.UnitRing.type Num.RealDomain.type. +check_join Num.RealDomain.type GRing.Zmodule.type Num.RealDomain.type. +check_join Num.RealDomain.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Num.RealDomain.type Num.NumDomain.type Num.RealDomain.type. +check_join Num.RealDomain.type Num.NumField.type Num.RealField.type. +check_join Num.RealDomain.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Num.RealDomain.type Num.RealDomain.type Num.RealDomain.type. +check_join Num.RealDomain.type Num.RealField.type Num.RealField.type. +check_join Num.RealField.type Choice.type Num.RealField.type. +check_join Num.RealField.type Equality.type Num.RealField.type. +check_join Num.RealField.type GRing.ComRing.type Num.RealField.type. +check_join Num.RealField.type GRing.ComUnitRing.type Num.RealField.type. +check_join Num.RealField.type GRing.Field.type Num.RealField.type. +check_join Num.RealField.type GRing.IntegralDomain.type Num.RealField.type. +check_join Num.RealField.type GRing.Ring.type Num.RealField.type. +check_join Num.RealField.type GRing.UnitRing.type Num.RealField.type. +check_join Num.RealField.type GRing.Zmodule.type Num.RealField.type. +check_join Num.RealField.type Num.ArchimedeanField.type Num.ArchimedeanField.type. +check_join Num.RealField.type Num.NumDomain.type Num.RealField.type. +check_join Num.RealField.type Num.NumField.type Num.RealField.type. +check_join Num.RealField.type Num.RealClosedField.type Num.RealClosedField.type. +check_join Num.RealField.type Num.RealDomain.type Num.RealField.type. +check_join Num.RealField.type Num.RealField.type Num.RealField.type. +check_join SplittingField.type Choice.type SplittingField.type. +check_join SplittingField.type Equality.type SplittingField.type. +check_join SplittingField.type Falgebra.type SplittingField.type. +check_join SplittingField.type FieldExt.type SplittingField.type. +check_join SplittingField.type GRing.Algebra.type SplittingField.type. +check_join SplittingField.type GRing.ComRing.type SplittingField.type. +check_join SplittingField.type GRing.ComUnitRing.type SplittingField.type. +check_join SplittingField.type GRing.Field.type SplittingField.type. +check_join SplittingField.type GRing.IntegralDomain.type SplittingField.type. +check_join SplittingField.type GRing.Lalgebra.type SplittingField.type. +check_join SplittingField.type GRing.Lmodule.type SplittingField.type. +check_join SplittingField.type GRing.Ring.type SplittingField.type. +check_join SplittingField.type GRing.UnitAlgebra.type SplittingField.type. +check_join SplittingField.type GRing.UnitRing.type SplittingField.type. +check_join SplittingField.type GRing.Zmodule.type SplittingField.type. +check_join SplittingField.type SplittingField.type SplittingField.type. +check_join SplittingField.type Vector.type SplittingField.type. +check_join Vector.type Choice.type Vector.type. +check_join Vector.type Equality.type Vector.type. +check_join Vector.type Falgebra.type Falgebra.type. +check_join Vector.type FieldExt.type FieldExt.type. +check_join Vector.type GRing.Algebra.type Falgebra.type. +check_join Vector.type GRing.ComRing.type FieldExt.type. +check_join Vector.type GRing.ComUnitRing.type FieldExt.type. +check_join Vector.type GRing.Field.type FieldExt.type. +check_join Vector.type GRing.IntegralDomain.type FieldExt.type. +check_join Vector.type GRing.Lalgebra.type Falgebra.type. +check_join Vector.type GRing.Lmodule.type Vector.type. +check_join Vector.type GRing.Ring.type Falgebra.type. +check_join Vector.type GRing.UnitAlgebra.type Falgebra.type. +check_join Vector.type GRing.UnitRing.type Falgebra.type. +check_join Vector.type GRing.Zmodule.type Vector.type. +check_join Vector.type SplittingField.type SplittingField.type. +check_join Vector.type Vector.type Vector.type. +Abort. |