diff options
| author | Cyril Cohen | 2018-11-24 17:58:35 +0100 |
|---|---|---|
| committer | GitHub | 2018-11-24 17:58:35 +0100 |
| commit | add6e85884691faef1bf8742e803374815672cc2 (patch) | |
| tree | 2ffb41f5afa11a147989c8efcc1dcb295ae2ed2b /mathcomp/character/mxrepresentation.v | |
| parent | 967088a6f87405a93ce21971392c58996df8c99f (diff) | |
| parent | f049e51c39077a025907ea87c08178dad1841801 (diff) | |
Merge pull request #249 from anton-trunov/prenex-implicits
Merge Arguments and Prenex Implicits
Diffstat (limited to 'mathcomp/character/mxrepresentation.v')
| -rw-r--r-- | mathcomp/character/mxrepresentation.v | 67 |
1 files changed, 32 insertions, 35 deletions
diff --git a/mathcomp/character/mxrepresentation.v b/mathcomp/character/mxrepresentation.v index c8d7ab1..6859168 100644 --- a/mathcomp/character/mxrepresentation.v +++ b/mathcomp/character/mxrepresentation.v @@ -427,7 +427,7 @@ Qed. End OneRepresentation. -Arguments rkerP [gT G n rG x]. +Arguments rkerP {gT G n rG x}. Section Proper. @@ -819,8 +819,8 @@ Arguments mx_repr _ _ _%g _%N _. Arguments group_ring _ _ _%g. Arguments regular_repr _ _ _%g. -Arguments centgmxP [R gT G n rG f]. -Arguments rkerP [R gT G n rG x]. +Arguments centgmxP {R gT G n rG f}. +Arguments rkerP {R gT G n rG x}. Prenex Implicits gring_mxK. Section ChangeOfRing. @@ -933,7 +933,7 @@ by apply: (iffP subsetP) => modU x Gx; have:= modU x Gx; rewrite !inE ?Gx. Qed. End Stabilisers. -Arguments mxmoduleP [m U]. +Arguments mxmoduleP {m U}. Lemma rstabS m1 m2 (U : 'M_(m1, n)) (V : 'M_(m2, n)) : (U <= V)%MS -> rstab rG V \subset rstab rG U. @@ -1288,7 +1288,7 @@ apply/sub_kermxP; rewrite mul_rV_lin1 /=; apply: (canLR vec_mxK). apply/row_matrixP=> j; rewrite !row_mul rowK mul_vec_lin /= mul_vec_lin_row. by rewrite -!row_mul mulmxBr !mulmxA cGf ?enum_valP // subrr !linear0. Qed. -Arguments hom_mxP [m f W]. +Arguments hom_mxP {m f W}. Lemma hom_envelop_mxC m f (W : 'M_(m, n)) A : (W <= dom_hom_mx f -> A \in E_G -> W *m A *m f = W *m f *m A)%MS. @@ -1366,7 +1366,7 @@ apply/sub_kermxP; rewrite mul_rV_lin1 /=; apply: (canLR vec_mxK). apply/row_matrixP=> i; rewrite row_mul rowK mul_vec_lin_row -row_mul. by rewrite mulmxBr mulmx1 cHW ?enum_valP // subrr !linear0. Qed. -Arguments rfix_mxP [m W]. +Arguments rfix_mxP {m W}. Lemma rfix_mx_id (H : {set gT}) x : x \in H -> rfix_mx H *m rG x = rfix_mx H. Proof. exact/rfix_mxP. Qed. @@ -1428,7 +1428,7 @@ rewrite genmxE; apply: (iffP submxP) => [[a] | [A /submxP[a defA]]] -> {v}. by rewrite vec_mxK submxMl. by exists a; rewrite mulmxA mul_rV_lin1 /= -defA mxvecK. Qed. -Arguments cyclic_mxP [u v]. +Arguments cyclic_mxP {u v}. Lemma cyclic_mx_id u : (u <= cyclic_mx u)%MS. Proof. by apply/cyclic_mxP; exists 1%:M; rewrite ?mulmx1 ?envelop_mx1. Qed. @@ -2366,21 +2366,19 @@ Qed. End OneRepresentation. -Arguments mxmoduleP [gT G n rG m U]. -Arguments envelop_mxP [gT G n rG A]. -Arguments hom_mxP [gT G n rG m f W]. -Arguments rfix_mxP [gT G n rG m W]. -Arguments cyclic_mxP [gT G n rG u v]. -Arguments annihilator_mxP [gT G n rG u A]. -Arguments row_hom_mxP [gT G n rG u v]. -Arguments mxsimple_isoP [gT G n rG U V]. -Arguments socleP [gT G n rG sG0 W W']. -Arguments mx_abs_irrP [gT G n rG]. +Arguments mxmoduleP {gT G n rG m U}. +Arguments envelop_mxP {gT G n rG A}. +Arguments hom_mxP {gT G n rG m f W}. +Arguments rfix_mxP {gT G n rG m W}. +Arguments cyclic_mxP {gT G n rG u v}. +Arguments annihilator_mxP {gT G n rG u A}. +Arguments row_hom_mxP {gT G n rG u v}. +Arguments mxsimple_isoP {gT G n rG U V}. +Arguments socleP {gT G n rG sG0 W W'}. +Arguments mx_abs_irrP {gT G n rG}. -Arguments val_submod_inj [n U m]. -Arguments val_factmod_inj [n U m]. - -Prenex Implicits val_submod_inj val_factmod_inj. +Arguments val_submod_inj {n U m}. +Arguments val_factmod_inj {n U m}. Section Proper. @@ -4659,23 +4657,22 @@ Arguments gset_mx _ _ _%g _%g. Arguments classg_base _ _ _%g _%g : extra scopes. Arguments irrType _ _ _%g _%g : extra scopes. -Arguments mxmoduleP [F gT G n rG m U]. -Arguments envelop_mxP [F gT G n rG A]. -Arguments hom_mxP [F gT G n rG m f W]. +Arguments mxmoduleP {F gT G n rG m U}. +Arguments envelop_mxP {F gT G n rG A}. +Arguments hom_mxP {F gT G n rG m f W}. Arguments mx_Maschke [F gT G n] rG _ [U]. -Arguments rfix_mxP [F gT G n rG m W]. -Arguments cyclic_mxP [F gT G n rG u v]. -Arguments annihilator_mxP [F gT G n rG u A]. -Arguments row_hom_mxP [F gT G n rG u v]. -Arguments mxsimple_isoP [F gT G n rG U V]. +Arguments rfix_mxP {F gT G n rG m W}. +Arguments cyclic_mxP {F gT G n rG u v}. +Arguments annihilator_mxP {F gT G n rG u A}. +Arguments row_hom_mxP {F gT G n rG u v}. +Arguments mxsimple_isoP {F gT G n rG U V}. Arguments socle_exists [F gT G n]. -Arguments socleP [F gT G n rG sG0 W W']. -Arguments mx_abs_irrP [F gT G n rG]. -Arguments socle_rsimP [F gT G n rG sG W1 W2]. +Arguments socleP {F gT G n rG sG0 W W'}. +Arguments mx_abs_irrP {F gT G n rG}. +Arguments socle_rsimP {F gT G n rG sG W1 W2}. -Arguments val_submod_inj [F n U m]. -Arguments val_factmod_inj [F n U m]. -Prenex Implicits val_submod_inj val_factmod_inj. +Arguments val_submod_inj {F n U m}. +Arguments val_factmod_inj {F n U m}. Notation "'Cl" := (Clifford_action _) : action_scope. |
