diff options
| author |  Pierre Boutillier <pierre.boutillier@ens-lyon.org> | 2014-02-24 18:07:48 +0100 |
|---|---|---|
| committer | Pierre Boutillier <pierre.boutillier@ens-lyon.org> | 2014-02-28 17:29:13 +0100 |
| commit | 93a35165079204b57d5e28a22781de18beb9f446 (patch) | |
| tree | 243d5b926c4d7c843671b30f5f7e404efbe3696e /theories/PArith/Pnat.v | |
| parent | 0adeb274a1ad0a1f12000b937314172b8779d92c (diff) | |
Pos.compare_cont takes the comparison as first argument
Helps cbn tactic refolding
Diffstat (limited to 'theories/PArith/Pnat.v')
| -rw-r--r-- | theories/PArith/Pnat.v | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/theories/PArith/Pnat.v b/theories/PArith/Pnat.v index 33505ccb3..12042f76c 100644 --- a/theories/PArith/Pnat.v +++ b/theories/PArith/Pnat.v @@ -410,24 +410,24 @@ Notation P_of_succ_nat_o_nat_of_P_eq_succ := Pos2SuccNat.id_succ (compat "8.3"). Notation pred_o_P_of_succ_nat_o_nat_of_P_eq_id := Pos2SuccNat.pred_id (compat "8.3"). Lemma nat_of_P_minus_morphism p q : - Pos.compare_cont p q Eq = Gt -> + Pos.compare_cont Eq p q = Gt -> Pos.to_nat (p - q) = Pos.to_nat p - Pos.to_nat q. Proof (fun H => Pos2Nat.inj_sub p q (Pos.gt_lt _ _ H)). Lemma nat_of_P_lt_Lt_compare_morphism p q : - Pos.compare_cont p q Eq = Lt -> Pos.to_nat p < Pos.to_nat q. + Pos.compare_cont Eq p q = Lt -> Pos.to_nat p < Pos.to_nat q. Proof (proj1 (Pos2Nat.inj_lt p q)). Lemma nat_of_P_gt_Gt_compare_morphism p q : - Pos.compare_cont p q Eq = Gt -> Pos.to_nat p > Pos.to_nat q. + Pos.compare_cont Eq p q = Gt -> Pos.to_nat p > Pos.to_nat q. Proof (proj1 (Pos2Nat.inj_gt p q)). Lemma nat_of_P_lt_Lt_compare_complement_morphism p q : - Pos.to_nat p < Pos.to_nat q -> Pos.compare_cont p q Eq = Lt. + Pos.to_nat p < Pos.to_nat q -> Pos.compare_cont Eq p q = Lt. Proof (proj2 (Pos2Nat.inj_lt p q)). Definition nat_of_P_gt_Gt_compare_complement_morphism p q : - Pos.to_nat p > Pos.to_nat q -> Pos.compare_cont p q Eq = Gt. + Pos.to_nat p > Pos.to_nat q -> Pos.compare_cont Eq p q = Gt. Proof (proj2 (Pos2Nat.inj_gt p q)). (** Old intermediate results about [Pmult_nat] *) |