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authorAnton Trunov2019-05-29 15:37:31 +0300
committerAnton Trunov2019-05-29 15:37:31 +0300
commite9c284b97b76e214f417ccc33907853bc0b8aa8e (patch)
treeb7a8df4adad80129e1f1ffab4308dba17816744d /mathcomp/solvable
parent42db44ce8df9f24d90c321d57e81e2d5bf83bd48 (diff)
incorporate new suggestions by @CohenCyril
Diffstat (limited to 'mathcomp/solvable')
-rw-r--r--mathcomp/solvable/abelian.v2
1 files changed, 1 insertions, 1 deletions
diff --git a/mathcomp/solvable/abelian.v b/mathcomp/solvable/abelian.v
index dd14013..2e025a2 100644
--- a/mathcomp/solvable/abelian.v
+++ b/mathcomp/solvable/abelian.v
@@ -837,7 +837,7 @@ Qed.
Lemma rank_gt0 G : ('r(G) > 0) = (G :!=: 1).
Proof.
case: (eqsVneq G 1) => [-> |]; first by rewrite rank1.
-case: (trivgVpdiv G) => [-> | [p p_pr]]; first by rewrite eqxx.
+case: (trivgVpdiv G) => [/eqP->// | [p p_pr]].
case/Cauchy=> // x Gx oxp _; apply: leq_trans (p_rank_le_rank p G).
have EpGx: <[x]>%G \in 'E_p(G).
by rewrite inE cycle_subG Gx abelemE // cycle_abelian -oxp exponent_dvdn.