diff options
| author | Enrico Tassi | 2019-11-22 10:05:19 +0100 |
|---|---|---|
| committer | Enrico Tassi | 2019-11-22 10:05:19 +0100 |
| commit | 27e4f306d54f2cc04b40d740584a7b3eda2d490a (patch) | |
| tree | 2333ae2a36f05edda2928e912ac37c360df06a83 /plugins | |
| parent | 83ab871c90c862ebb08bcc549701beec0afc6cce (diff) | |
| parent | 9832c2a4714fc594f159e277f65b0d388ff643d7 (diff) | |
Merge PR #11136: Adding `inj_compr` lemma in ssrfun.
Ack-by: Zimmi48
Reviewed-by: gares
Diffstat (limited to 'plugins')
| -rw-r--r-- | plugins/ssr/ssrfun.v | 3 |
1 files changed, 3 insertions, 0 deletions
diff --git a/plugins/ssr/ssrfun.v b/plugins/ssr/ssrfun.v index b8affba541..dd847169b9 100644 --- a/plugins/ssr/ssrfun.v +++ b/plugins/ssr/ssrfun.v @@ -675,6 +675,9 @@ Proof. by move=> fK injf' x; apply: injf'. Qed. Lemma inj_comp : injective f -> injective h -> injective (f \o h). Proof. by move=> injf injh x y /injf; apply: injh. Qed. +Lemma inj_compr : injective (f \o h) -> injective h. +Proof. by move=> injfh x y /(congr1 f) /injfh. Qed. + Lemma can_comp f' h' : cancel f f' -> cancel h h' -> cancel (f \o h) (h' \o f'). Proof. by move=> fK hK x; rewrite /= fK hK. Qed. |