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authorCyril Cohen2016-08-25 01:38:44 +0200
committerCyril Cohen2016-08-25 01:39:43 +0200
commit2d824f394e8c3148e95b3374fb9903f6032ba3e6 (patch)
tree6640dead8c6ee6147eebdc0c9e12bfa621787ced /mathcomp/algebra/rat.v
parent933085b944ecef3d50de3c81444079c30c462ca9 (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/algebra/rat.v')
-rw-r--r--mathcomp/algebra/rat.v2
1 files changed, 0 insertions, 2 deletions
diff --git a/mathcomp/algebra/rat.v b/mathcomp/algebra/rat.v
index 9012291..9a38f5b 100644
--- a/mathcomp/algebra/rat.v
+++ b/mathcomp/algebra/rat.v
@@ -11,8 +11,6 @@ Require Import bigop ssralg div ssrnum ssrint.
(* structure of archimedean, real field, with int and nat declared as closed *)
(* subrings. *)
(* rat == the type of rational number, with single constructor Rat *)
-(* Rat p h == the element of type rat build from p a pair of integers and*)
-(* h a proof of (0 < p.2) && coprime `|p.1| `|p.2| *)
(* n%:Q == explicit cast from int to rat, postfix notation for the *)
(* ratz constant *)
(* numq r == numerator of (r : rat) *)