diff options
| author | Kazuhiko Sakaguchi | 2020-09-10 21:19:55 +0900 |
|---|---|---|
| committer | Kazuhiko Sakaguchi | 2020-10-07 23:23:26 +0900 |
| commit | ad55cb4128382852370ea53d36f4d21a83274e8b (patch) | |
| tree | 8148c7f1949eacec6f80db04c85b6b745e623d5b /mathcomp/field/fieldext.v | |
| parent | 5222da0de26b9843dfbb1b8462fabea9c0396714 (diff) | |
Turn class_of records into primitive records and get rid of the xclass idiom
Diffstat (limited to 'mathcomp/field/fieldext.v')
| -rw-r--r-- | mathcomp/field/fieldext.v | 102 |
1 files changed, 51 insertions, 51 deletions
diff --git a/mathcomp/field/fieldext.v b/mathcomp/field/fieldext.v index 69c1bb7..df7ef5a 100644 --- a/mathcomp/field/fieldext.v +++ b/mathcomp/field/fieldext.v @@ -93,12 +93,14 @@ Section FieldExt. Variable R : ringType. +Set Primitive Projections. Record class_of T := Class { base : Falgebra.class_of R T; comm_ext : commutative (Ring.mul base); idomain_ext : IntegralDomain.axiom (Ring.Pack base); field_ext : Field.mixin_of (UnitRing.Pack base) }. +Unset Primitive Projections. Local Coercion base : class_of >-> Falgebra.class_of. @@ -123,8 +125,6 @@ Local Coercion sort : type >-> Sortclass. Variables (phR : phant R) (T : Type) (cT : type phR). Definition class := let: Pack _ c := cT return class_of cT in c. -Let xT := let: Pack T _ := cT in T. -Notation xclass := (class : class_of xT). Definition pack := fun (bT : Falgebra.type phR) b @@ -142,55 +142,55 @@ Definition pack_eta K := fun (bT : Falgebra.type phR) b & phant_id (Falgebra.class bT) b => fun cT_ & phant_id (@Class T b) cT_ => @Pack phR T (cT_ Cm IDm Fm). -Definition eqType := @Equality.Pack cT xclass. -Definition choiceType := @Choice.Pack cT xclass. -Definition zmodType := @Zmodule.Pack cT xclass. -Definition ringType := @Ring.Pack cT xclass. -Definition unitRingType := @UnitRing.Pack cT xclass. -Definition comRingType := @ComRing.Pack cT xclass. -Definition comUnitRingType := @ComUnitRing.Pack cT xclass. -Definition idomainType := @IntegralDomain.Pack cT xclass. -Definition fieldType := @Field.Pack cT xclass. -Definition lmodType := @Lmodule.Pack R phR cT xclass. -Definition lalgType := @Lalgebra.Pack R phR cT xclass. -Definition algType := @Algebra.Pack R phR cT xclass. -Definition unitAlgType := @UnitAlgebra.Pack R phR cT xclass. -Definition comAlgType := @ComAlgebra.Pack R phR cT xclass. -Definition comUnitAlgType := @ComUnitAlgebra.Pack R phR cT xclass. -Definition vectType := @Vector.Pack R phR cT xclass. -Definition FalgType := @Falgebra.Pack R phR cT xclass. - -Definition Falg_comRingType := @ComRing.Pack FalgType xclass. -Definition Falg_comUnitRingType := @ComUnitRing.Pack FalgType xclass. -Definition Falg_comAlgType := @ComAlgebra.Pack R phR FalgType xclass. -Definition Falg_comUnitAlgType := @ComUnitAlgebra.Pack R phR FalgType xclass. -Definition Falg_idomainType := @IntegralDomain.Pack FalgType xclass. -Definition Falg_fieldType := @Field.Pack FalgType xclass. - -Definition vect_comRingType := @ComRing.Pack vectType xclass. -Definition vect_comUnitRingType := @ComUnitRing.Pack vectType xclass. -Definition vect_comAlgType := @ComAlgebra.Pack R phR vectType xclass. -Definition vect_comUnitAlgType := @ComUnitAlgebra.Pack R phR vectType xclass. -Definition vect_idomainType := @IntegralDomain.Pack vectType xclass. -Definition vect_fieldType := @Field.Pack vectType xclass. - -Definition comUnitAlg_idomainType := @IntegralDomain.Pack comUnitAlgType xclass. -Definition comUnitAlg_fieldType := @Field.Pack comUnitAlgType xclass. - -Definition unitAlg_idomainType := @IntegralDomain.Pack unitAlgType xclass. -Definition unitAlg_fieldType := @Field.Pack unitAlgType xclass. - -Definition comAlg_idomainType := @IntegralDomain.Pack comAlgType xclass. -Definition comAlg_fieldType := @Field.Pack comAlgType xclass. - -Definition alg_idomainType := @IntegralDomain.Pack algType xclass. -Definition alg_fieldType := @Field.Pack algType xclass. - -Definition lalg_idomainType := @IntegralDomain.Pack lalgType xclass. -Definition lalg_fieldType := @Field.Pack lalgType xclass. - -Definition lmod_idomainType := @IntegralDomain.Pack lmodType xclass. -Definition lmod_fieldType := @Field.Pack lmodType xclass. +Definition eqType := @Equality.Pack cT class. +Definition choiceType := @Choice.Pack cT class. +Definition zmodType := @Zmodule.Pack cT class. +Definition ringType := @Ring.Pack cT class. +Definition unitRingType := @UnitRing.Pack cT class. +Definition comRingType := @ComRing.Pack cT class. +Definition comUnitRingType := @ComUnitRing.Pack cT class. +Definition idomainType := @IntegralDomain.Pack cT class. +Definition fieldType := @Field.Pack cT class. +Definition lmodType := @Lmodule.Pack R phR cT class. +Definition lalgType := @Lalgebra.Pack R phR cT class. +Definition algType := @Algebra.Pack R phR cT class. +Definition unitAlgType := @UnitAlgebra.Pack R phR cT class. +Definition comAlgType := @ComAlgebra.Pack R phR cT class. +Definition comUnitAlgType := @ComUnitAlgebra.Pack R phR cT class. +Definition vectType := @Vector.Pack R phR cT class. +Definition FalgType := @Falgebra.Pack R phR cT class. + +Definition Falg_comRingType := @ComRing.Pack FalgType class. +Definition Falg_comUnitRingType := @ComUnitRing.Pack FalgType class. +Definition Falg_comAlgType := @ComAlgebra.Pack R phR FalgType class. +Definition Falg_comUnitAlgType := @ComUnitAlgebra.Pack R phR FalgType class. +Definition Falg_idomainType := @IntegralDomain.Pack FalgType class. +Definition Falg_fieldType := @Field.Pack FalgType class. + +Definition vect_comRingType := @ComRing.Pack vectType class. +Definition vect_comUnitRingType := @ComUnitRing.Pack vectType class. +Definition vect_comAlgType := @ComAlgebra.Pack R phR vectType class. +Definition vect_comUnitAlgType := @ComUnitAlgebra.Pack R phR vectType class. +Definition vect_idomainType := @IntegralDomain.Pack vectType class. +Definition vect_fieldType := @Field.Pack vectType class. + +Definition comUnitAlg_idomainType := @IntegralDomain.Pack comUnitAlgType class. +Definition comUnitAlg_fieldType := @Field.Pack comUnitAlgType class. + +Definition unitAlg_idomainType := @IntegralDomain.Pack unitAlgType class. +Definition unitAlg_fieldType := @Field.Pack unitAlgType class. + +Definition comAlg_idomainType := @IntegralDomain.Pack comAlgType class. +Definition comAlg_fieldType := @Field.Pack comAlgType class. + +Definition alg_idomainType := @IntegralDomain.Pack algType class. +Definition alg_fieldType := @Field.Pack algType class. + +Definition lalg_idomainType := @IntegralDomain.Pack lalgType class. +Definition lalg_fieldType := @Field.Pack lalgType class. + +Definition lmod_idomainType := @IntegralDomain.Pack lmodType class. +Definition lmod_fieldType := @Field.Pack lmodType class. End FieldExt. |
