diff options
| author | Frédéric Besson | 2020-04-01 11:43:00 +0200 |
|---|---|---|
| committer | Frédéric Besson | 2020-04-01 11:43:00 +0200 |
| commit | 288a97e465048bc47c7d5e91e14bfbc33819e689 (patch) | |
| tree | 1b6afa192518791fe2ae47e3fb4d3033070f4a65 /theories/QArith | |
| parent | 402e37a405e4085365fdcbdc959fe00d2c340da2 (diff) | |
[micromega] use Coqlib.lib_ref to get Coq constants.
Diffstat (limited to 'theories/QArith')
| -rw-r--r-- | theories/QArith/QArith_base.v | 15 |
1 files changed, 15 insertions, 0 deletions
diff --git a/theories/QArith/QArith_base.v b/theories/QArith/QArith_base.v index bd5225d9ef..74cdd1797c 100644 --- a/theories/QArith/QArith_base.v +++ b/theories/QArith/QArith_base.v @@ -22,6 +22,10 @@ Declare Scope Q_scope. Delimit Scope Q_scope with Q. Bind Scope Q_scope with Q. Arguments Qmake _%Z _%positive. + +Register Q as rat.Q.type. +Register Qmake as rat.Q.Qmake. + Open Scope Q_scope. Ltac simpl_mult := rewrite ?Pos2Z.inj_mul. @@ -101,6 +105,10 @@ Notation "x > y" := (Qlt y x)(only parsing) : Q_scope. Notation "x >= y" := (Qle y x)(only parsing) : Q_scope. Notation "x <= y <= z" := (x<=y/\y<=z) : Q_scope. +Register Qeq as rat.Q.Qeq. +Register Qle as rat.Q.Qle. +Register Qlt as rat.Q.Qlt. + (** injection from Z is injective. *) Lemma inject_Z_injective (a b: Z): inject_Z a == inject_Z b <-> a = b. @@ -278,6 +286,11 @@ Infix "*" := Qmult : Q_scope. Notation "/ x" := (Qinv x) : Q_scope. Infix "/" := Qdiv : Q_scope. +Register Qplus as rat.Q.Qplus. +Register Qminus as rat.Q.Qminus. +Register Qopp as rat.Q.Qopp. +Register Qmult as rat.Q.Qmult. + (** A light notation for [Zpos] *) Lemma Qmake_Qdiv a b : a#b==inject_Z a/inject_Z (Zpos b). @@ -1053,6 +1066,8 @@ Definition Qpower (q:Q) (z:Z) := Notation " q ^ z " := (Qpower q z) : Q_scope. +Register Qpower as rat.Q.Qpower. + Instance Qpower_comp : Proper (Qeq==>eq==>Qeq) Qpower. Proof. intros x x' Hx y y' Hy. rewrite <- Hy; clear y' Hy. |
