From 2d824f394e8c3148e95b3374fb9903f6032ba3e6 Mon Sep 17 00:00:00 2001
From: Cyril Cohen
Date: Thu, 25 Aug 2016 01:38:44 +0200
Subject: Enriched numClosedFieldType so that it factors a lot of theory from
 both complex and algC.

The definitions of 'i, conjC, Re, Im, n.-root, sqrtC and their theory
have been moved to the numClosedFieldType structure in ssrnum.
This covers boths the uses in algC and complex.v. To that end the
numClosedFieldType structure has been enriched with conjugation and 'i.
Note that 'i can be deduced from the property of algebraic closure and is
only here to let the user chose which definitional equality should hold
on 'i. Same thing for conjC that could be written  `|x|^+2/x, the only
nontrivial (up to my knowledge) property is the fact that conjugation
is a ring morphism.
---
 mathcomp/character/classfun.v | 3 ++-
 1 file changed, 2 insertions(+), 1 deletion(-)

(limited to 'mathcomp/character/classfun.v')

diff --git a/mathcomp/character/classfun.v b/mathcomp/character/classfun.v
index 4c27bd7..7473338 100644
--- a/mathcomp/character/classfun.v
+++ b/mathcomp/character/classfun.v
@@ -969,7 +969,8 @@ Lemma cfCauchySchwarz_sqrt phi psi :
   `|'[phi, psi]| <= sqrtC '[phi] * sqrtC '[psi] ?= iff ~~ free (phi :: psi).
 Proof.
 rewrite -(sqrCK (normr_ge0 _)) -sqrtCM ?qualifE ?cfnorm_ge0 //.
-rewrite (mono_in_lerif ler_sqrtC) 1?rpredM ?qualifE ?normr_ge0 ?cfnorm_ge0 //.
+rewrite (mono_in_lerif (@ler_sqrtC _)) 1?rpredM ?qualifE;
+rewrite ?normr_ge0 ?cfnorm_ge0 //.
 exact: cfCauchySchwarz.
 Qed.
 
-- 
cgit v1.2.3