diff options
| author | Cyril Cohen | 2016-08-25 01:38:44 +0200 |
|---|---|---|
| committer | Cyril Cohen | 2016-08-25 01:39:43 +0200 |
| commit | 2d824f394e8c3148e95b3374fb9903f6032ba3e6 (patch) | |
| tree | 6640dead8c6ee6147eebdc0c9e12bfa621787ced /mathcomp/odd_order/PFsection3.v | |
| parent | 933085b944ecef3d50de3c81444079c30c462ca9 (diff) | |
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.
Diffstat (limited to 'mathcomp/odd_order/PFsection3.v')
| -rw-r--r-- | mathcomp/odd_order/PFsection3.v | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/mathcomp/odd_order/PFsection3.v b/mathcomp/odd_order/PFsection3.v index cb55ae4..9011122 100644 --- a/mathcomp/odd_order/PFsection3.v +++ b/mathcomp/odd_order/PFsection3.v @@ -1360,7 +1360,7 @@ have{oxi_00} oxi_i0 i j i0: '[xi_ i j, xi_ i0 0] = ((i == i0) && (j == 0))%:R. by rewrite cfdotC Xi0_X0j // conjC0. have [-> | nzi2] := altP (i2 =P 0); first exact: oxi_0j. have [-> | nzj2] := altP (j2 =P 0); first exact: oxi_i0. -rewrite cfdotC eq_sym; apply: canLR conjCK _; rewrite rmorph_nat. +rewrite cfdotC eq_sym; apply: canLR (@conjCK _) _; rewrite rmorph_nat. have [-> | nzi1] := altP (i1 =P 0); first exact: oxi_0j. have [-> | nzj1] := altP (j1 =P 0); first exact: oxi_i0. have ->: xi_ i1 j1 = beta i1 j1 + xi_ i1 0 + xi_ 0 j1 by rewrite /xi_ !ifN. |