diff options
| author | Cyril Cohen | 2020-11-19 18:33:21 +0100 |
|---|---|---|
| committer | Cyril Cohen | 2020-11-19 21:38:46 +0100 |
| commit | e565f8d9bebd4fd681c34086d5448dbaebc11976 (patch) | |
| tree | 3e74907bf8e310b6400b7c340357ad44fc44a83f /mathcomp/algebra/vector.v | |
| parent | 0dbefe01e54a467b7932a514355f0435b4cfb978 (diff) | |
Removing duplicate clears and turning the warning into an error
Diffstat (limited to 'mathcomp/algebra/vector.v')
| -rw-r--r-- | mathcomp/algebra/vector.v | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/mathcomp/algebra/vector.v b/mathcomp/algebra/vector.v index e02aaef..76bec6f 100644 --- a/mathcomp/algebra/vector.v +++ b/mathcomp/algebra/vector.v @@ -1101,7 +1101,7 @@ Lemma free_span X v (sumX := fun k => \sum_(x <- X) k x *: x) : Proof. rewrite -{2}[X]in_tupleE => freeX /coord_span def_v. pose k x := oapp (fun i => coord (in_tuple X) i v) 0 (insub (index x X)). -exists k => [|k1 {def_v}def_v _ /(nthP 0)[i ltiX <-]]. +exists k => [|k1 {}def_v _ /(nthP 0)[i ltiX <-]]. rewrite /sumX (big_nth 0) big_mkord def_v; apply: eq_bigr => i _. by rewrite /k index_uniq ?free_uniq // valK. rewrite /k /= index_uniq ?free_uniq // insubT //= def_v. @@ -1627,7 +1627,7 @@ Proof. by apply: (iffP subvP) => cUf x /cUf/fixedSpaceP. Qed. Lemma fixedSpace_limg f U : (U <= fixedSpace f -> f @: U = U)%VS. Proof. move/fixedSpacesP=> cUf; apply/vspaceP=> x. -by apply/memv_imgP/idP=> [[{x} x Ux ->] | Ux]; last exists x; rewrite ?cUf. +by apply/memv_imgP/idP=> [[{}x Ux ->] | Ux]; last exists x; rewrite ?cUf. Qed. Lemma fixedSpace_id : fixedSpace \1 = {:vT}%VS. @@ -1862,7 +1862,7 @@ Lemma sumv_pi_uniq_sum v : \sum_(i <- r0 | P i) sumv_pi_for defV i v = v. Proof. rewrite /sumv_pi_for defV -!(big_filter r0 P). -elim: (filter P r0) v => [|i r IHr] v /= => [_ | /andP[r'i /IHr{IHr}IHr]]. +elim: (filter P r0) v => [|i r IHr] v /= => [_ | /andP[r'i /IHr{}IHr]]. by rewrite !big_nil memv0 => /eqP. rewrite !big_cons eqxx => /addv_pi1_pi2; congr (_ + _ = v). rewrite -[_ v]IHr ?memv_pi2 //; apply: eq_big_seq => j /=. |