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authorCyril Cohen2016-08-25 17:44:06 +0200
committerCyril Cohen2016-10-24 13:11:31 +0200
commitd762ebb5a8c5191d49a75aa89ec34966de00eb9b (patch)
tree6bc0abd5084ef9db1ff09ae5690bf75df4d63b73 /mathcomp/real_closed
parentfb7060ca71082911284ff6b388c3c45ef07c2723 (diff)
better ltngtP
Diffstat (limited to 'mathcomp/real_closed')
-rw-r--r--mathcomp/real_closed/polyorder.v5
1 files changed, 1 insertions, 4 deletions
diff --git a/mathcomp/real_closed/polyorder.v b/mathcomp/real_closed/polyorder.v
index f18ec89..2da4dc9 100644
--- a/mathcomp/real_closed/polyorder.v
+++ b/mathcomp/real_closed/polyorder.v
@@ -108,10 +108,7 @@ Qed.
Lemma muP p x n : p != 0 ->
(('X - x%:P)^+n %| p) && ~~(('X - x%:P)^+n.+1 %| p) = (n == \mu_x p).
Proof.
-move=> hp0; rewrite !root_le_mu//; case: (ltngtP n (\mu_x p))=> hn.
-+ by rewrite ltnW//=.
-+ by rewrite leqNgt hn.
-+ by rewrite hn leqnn.
+by move=> hp0; rewrite !root_le_mu//; case: (ltngtP n (\mu_x p)).
Qed.
Lemma mu_gt0 p x : p != 0 -> (0 < \mu_x p)%N = root p x.