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authorJasper Hugunin2018-03-04 16:57:06 -0800
committerJasper Hugunin2018-03-04 16:57:06 -0800
commit2525c33691e25f837b7dca31d4c702199b3dbc5d (patch)
tree7937f252a0818909c715ccc20f3611a4f5c482d5 /mathcomp/algebra/mxalgebra.v
parent6f075b64b936de9ee4fa79ea4dc1d2fb9b9cf2c8 (diff)
Change deprecated Arguments Scope to Arguments
Diffstat (limited to 'mathcomp/algebra/mxalgebra.v')
-rw-r--r--mathcomp/algebra/mxalgebra.v78
1 files changed, 28 insertions, 50 deletions
diff --git a/mathcomp/algebra/mxalgebra.v b/mathcomp/algebra/mxalgebra.v
index 9cf3f6e..d77bfb1 100644
--- a/mathcomp/algebra/mxalgebra.v
+++ b/mathcomp/algebra/mxalgebra.v
@@ -216,9 +216,9 @@ Definition pinvmx : 'M_(n, m) :=
End Defs.
-Arguments Scope mxrank [nat_scope nat_scope matrix_set_scope].
+Arguments mxrank _%N _%N _%MS.
Local Notation "\rank A" := (mxrank A) : nat_scope.
-Arguments Scope complmx [nat_scope nat_scope matrix_set_scope].
+Arguments complmx _%N _%N _%MS.
Local Notation "A ^C" := (complmx A) : matrix_set_scope.
Definition submx_def := idfun (fun m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) =>
@@ -227,8 +227,7 @@ Fact submx_key : unit. Proof. by []. Qed.
Definition submx := locked_with submx_key submx_def.
Canonical submx_unlockable := [unlockable fun submx].
-Arguments Scope submx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments submx _%N _%N _%N _%MS _%MS.
Prenex Implicits submx.
Local Notation "A <= B" := (submx A B) : matrix_set_scope.
Local Notation "A <= B <= C" := ((A <= B) && (B <= C))%MS : matrix_set_scope.
@@ -236,8 +235,7 @@ Local Notation "A == B" := (A <= B <= A)%MS : matrix_set_scope.
Definition ltmx m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) :=
(A <= B)%MS && ~~ (B <= A)%MS.
-Arguments Scope ltmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments ltmx _%N _%N _%N _%MS _%MS.
Prenex Implicits ltmx.
Local Notation "A < B" := (ltmx A B) : matrix_set_scope.
@@ -245,8 +243,7 @@ Definition eqmx m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) :=
prod (\rank A = \rank B)
(forall m3 (C : 'M_(m3, n)),
((A <= C) = (B <= C)) * ((C <= A) = (C <= B)))%MS.
-Arguments Scope eqmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments eqmx _%N _%N _%N _%MS _%MS.
Local Notation "A :=: B" := (eqmx A B) : matrix_set_scope.
Section LtmxIdentities.
@@ -301,8 +298,7 @@ Definition addsmx_def := idfun (fun m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) =>
Fact addsmx_key : unit. Proof. by []. Qed.
Definition addsmx := locked_with addsmx_key addsmx_def.
Canonical addsmx_unlockable := [unlockable fun addsmx].
-Arguments Scope addsmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments addsmx _%N _%N _%N _%MS _%MS.
Prenex Implicits addsmx.
Local Notation "A + B" := (addsmx A B) : matrix_set_scope.
Local Notation "\sum_ ( i | P ) B" := (\big[addsmx/0]_(i | P) B%MS)
@@ -337,8 +333,7 @@ Definition capmx_def := idfun (fun m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) =>
Fact capmx_key : unit. Proof. by []. Qed.
Definition capmx := locked_with capmx_key capmx_def.
Canonical capmx_unlockable := [unlockable fun capmx].
-Arguments Scope capmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments capmx _%N _%N _%N _%MS _%MS.
Prenex Implicits capmx.
Local Notation "A :&: B" := (capmx A B) : matrix_set_scope.
Local Notation "\bigcap_ ( i | P ) B" := (\big[capmx/1%:M]_(i | P) B)
@@ -349,8 +344,7 @@ Definition diffmx_def := idfun (fun m1 m2 n (A : 'M_(m1, n)) (B : 'M_(m2, n)) =>
Fact diffmx_key : unit. Proof. by []. Qed.
Definition diffmx := locked_with diffmx_key diffmx_def.
Canonical diffmx_unlockable := [unlockable fun diffmx].
-Arguments Scope diffmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments diffmx _%N _%N _%N _%MS _%MS.
Prenex Implicits diffmx.
Local Notation "A :\: B" := (diffmx A B) : matrix_set_scope.
@@ -1735,7 +1729,7 @@ Inductive mxsum_spec n : forall m, 'M[F]_(m, n) -> nat -> Prop :=
| ProperMxsum m1 m2 T1 T2 r1 r2 of
@mxsum_spec n m1 T1 r1 & @mxsum_spec n m2 T2 r2
: mxsum_spec (T1 + T2)%MS (r1 + r2)%N.
-Arguments Scope mxsum_spec [nat_scope nat_scope matrix_set_scope nat_scope].
+Arguments mxsum_spec _%N _%N _%MS _%N.
Structure mxsum_expr m n := Mxsum {
mxsum_val :> wrapped 'M_(m, n);
@@ -2005,21 +1999,15 @@ Arguments mxdirect_sumsE [F I P n S_].
Arguments eigenspaceP [F n g a m W].
Arguments eigenvalueP [F n g a].
-Arguments Scope mxrank [_ nat_scope nat_scope matrix_set_scope].
-Arguments Scope complmx [_ nat_scope nat_scope matrix_set_scope].
-Arguments Scope row_full [_ nat_scope nat_scope matrix_set_scope].
-Arguments Scope submx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope ltmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope eqmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope addsmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope capmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope diffmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments mxrank _ _%N _%N _%MS.
+Arguments complmx _ _%N _%N _%MS.
+Arguments row_full _ _%N _%N _%MS.
+Arguments submx _ _%N _%N _%N _%MS _%MS.
+Arguments ltmx _ _%N _%N _%N _%MS _%MS.
+Arguments eqmx _ _%N _%N _%N _%MS _%MS.
+Arguments addsmx _ _%N _%N _%N _%MS _%MS.
+Arguments capmx _ _%N _%N _%N _%MS _%MS.
+Arguments diffmx _ _%N _%N _%N _%MS _%MS.
Prenex Implicits mxrank genmx complmx submx ltmx addsmx capmx.
Notation "\rank A" := (mxrank A) : nat_scope.
Notation "<< A >>" := (genmx A) : matrix_set_scope.
@@ -2295,8 +2283,7 @@ Qed.
Definition mulsmx m1 m2 n (R1 : 'A[F]_(m1, n)) (R2 : 'A_(m2, n)) :=
(\sum_i <<R1 *m lin_mx (mulmxr (vec_mx (row i R2)))>>)%MS.
-Arguments Scope mulsmx
- [nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
+Arguments mulsmx _%N _%N _%N _%MS _%MS.
Local Notation "R1 * R2" := (mulsmx R1 R2) : matrix_set_scope.
@@ -2606,24 +2593,15 @@ Qed.
End MatrixAlgebra.
-Arguments Scope mulsmx
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope left_mx_ideal
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope right_mx_ideal
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope mx_ideal
- [_ nat_scope nat_scope nat_scope matrix_set_scope matrix_set_scope].
-Arguments Scope mxring_id
- [_ nat_scope nat_scope ring_scope matrix_set_scope].
-Arguments Scope has_mxring_id
- [_ nat_scope nat_scope ring_scope matrix_set_scope].
-Arguments Scope mxring
- [_ nat_scope nat_scope matrix_set_scope].
-Arguments Scope cent_mx
- [_ nat_scope nat_scope matrix_set_scope].
-Arguments Scope center_mx
- [_ nat_scope nat_scope matrix_set_scope].
+Arguments mulsmx _ _%N _%N _%N _%MS _%MS.
+Arguments left_mx_ideal _ _%N _%N _%N _%MS _%MS.
+Arguments right_mx_ideal _ _%N _%N _%N _%MS _%MS.
+Arguments mx_ideal _ _%N _%N _%N _%MS _%MS.
+Arguments mxring_id _ _%N _%N _%R _%MS.
+Arguments has_mxring_id _ _%N _%N _%R _%MS : extra scopes.
+Arguments mxring _ _%N _%N _%MS.
+Arguments cent_mx _ _%N _%N _%MS.
+Arguments center_mx _ _%N _%N _%MS.
Prenex Implicits mulsmx.