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authorLaurent Théry2019-10-26 13:02:58 +0200
committerGitHub2019-10-26 13:02:58 +0200
commit9ec6b02e673d0808b3ba4a6c4f849405bf222ae1 (patch)
tree46671713f1ed295d65aca33ce957ba65b52743f0 /mathcomp
parentcd81418979c9783f9dae65d2aea98742919420e5 (diff)
parent45b92eabb37cf1f8465ed2f3abe13666096c5c27 (diff)
Merge pull request #397 from CohenCyril/remove_addnKC
Removing duplicate lemma `addnKC` (= `addKn`)
Diffstat (limited to 'mathcomp')
-rw-r--r--mathcomp/ssreflect/ssrnat.v5
1 files changed, 1 insertions, 4 deletions
diff --git a/mathcomp/ssreflect/ssrnat.v b/mathcomp/ssreflect/ssrnat.v
index 746eafc..39131f0 100644
--- a/mathcomp/ssreflect/ssrnat.v
+++ b/mathcomp/ssreflect/ssrnat.v
@@ -279,9 +279,6 @@ Proof. by move=> m; rewrite /= -{2}[n]addn0 subnDl subn0. Qed.
Lemma addnK n : cancel (addn^~ n) (subn^~ n).
Proof. by move=> m; rewrite /= (addnC m) addKn. Qed.
-Lemma addnKC n m : (n + m) - n = m.
-Proof. by rewrite addnC addnK. Qed.
-
Lemma subSnn n : n.+1 - n = 1.
Proof. exact (addnK n 1). Qed.
@@ -542,7 +539,7 @@ Lemma subnBA m n p : p <= n -> m - (n - p) = m + p - n.
Proof. by move=> le_pn; rewrite -{2}(subnK le_pn) subnDr. Qed.
Lemma ltn_subr m n : m <= n -> (n - m < n) = (m > 0).
-Proof. by move=> le_mn; rewrite -subn_gt0 subnBA// addnKC. Qed.
+Proof. by move=> le_mn; rewrite -subn_gt0 subnBA// addKn. Qed.
Lemma subKn m n : m <= n -> n - (n - m) = m.
Proof. by move/subnBA->; rewrite addKn. Qed.