diff options
Diffstat (limited to 'mathcomp/solvable')
| -rw-r--r-- | mathcomp/solvable/burnside_app.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/mathcomp/solvable/burnside_app.v b/mathcomp/solvable/burnside_app.v index 10cbbaa..34c1c7c 100644 --- a/mathcomp/solvable/burnside_app.v +++ b/mathcomp/solvable/burnside_app.v @@ -686,10 +686,10 @@ move=> p; rewrite inE. by do ?case/orP; move/eqP=> <- a; rewrite !(permM, permE); case: a; do 6?case. Qed. -Definition sop (p : {perm cube}) : seq cube := val (val (val p)). +Definition sop (p : {perm cube}) : seq cube := fgraph (val p). Lemma sop_inj : injective sop. -Proof. by do 2!apply: (inj_comp val_inj); apply: val_inj. Qed. +Proof. by move=> p1 p2 /val_inj/(can_inj fgraphK)/val_inj. Qed. Definition prod_tuple (t1 t2 : seq cube) := map (fun n : 'I_6 => nth F0 t2 n) t1. @@ -700,7 +700,7 @@ Proof. by move=> x n0; rewrite -pvalE unlock enum_rank_ord (tnth_nth F0). Qed. Lemma prod_t_correct : forall (x y : {perm cube}) (i : cube), (x * y) i = nth F0 (prod_tuple (sop x) (sop y)) i. Proof. -move=> x y i; rewrite permM -!sop_spec (nth_map F0) // size_tuple /=. +move=> x y i; rewrite permM -!sop_spec [RHS](nth_map F0) // size_tuple /=. by rewrite card_ord ltn_ord. Qed. |