diff options
Diffstat (limited to 'plugins/setoid_ring')
| -rw-r--r-- | plugins/setoid_ring/InitialRing.v | 4 | ||||
| -rw-r--r-- | plugins/setoid_ring/Ring_theory.v | 15 |
2 files changed, 16 insertions, 3 deletions
diff --git a/plugins/setoid_ring/InitialRing.v b/plugins/setoid_ring/InitialRing.v index dcc0c4e41..67bb93092 100644 --- a/plugins/setoid_ring/InitialRing.v +++ b/plugins/setoid_ring/InitialRing.v @@ -307,9 +307,7 @@ Section NMORPHISM. Notation "x == y" := (req x y). Add Morphism radd : radd_ext4. exact (Radd_ext Reqe). Qed. Add Morphism rmul : rmul_ext4. exact (Rmul_ext Reqe). Qed. - Add Morphism ropp : ropp_ext4. exact (Ropp_ext Reqe). Qed. - Add Morphism rsub : rsub_ext5. exact (ARsub_ext Rsth Reqe ARth). Qed. - Ltac norm := gen_srewrite Rsth Reqe ARth. + Ltac norm := gen_srewrite_sr Rsth Reqe ARth. Definition gen_phiN1 x := match x with diff --git a/plugins/setoid_ring/Ring_theory.v b/plugins/setoid_ring/Ring_theory.v index 581cf9251..b9f964857 100644 --- a/plugins/setoid_ring/Ring_theory.v +++ b/plugins/setoid_ring/Ring_theory.v @@ -590,6 +590,21 @@ Ltac gen_srewrite Rsth Reqe ARth := | progress rewrite <- (ARopp_mul_l ARth) | progress rewrite <- (ARopp_mul_r Rsth Reqe ARth) ]. +Ltac gen_srewrite_sr Rsth Reqe ARth := + repeat first + [ gen_reflexivity Rsth + | progress rewrite (ARopp_zero Rsth Reqe ARth) + | rewrite (ARadd_0_l ARth) + | rewrite (ARadd_0_r Rsth ARth) + | rewrite (ARmul_1_l ARth) + | rewrite (ARmul_1_r Rsth ARth) + | rewrite (ARmul_0_l ARth) + | rewrite (ARmul_0_r Rsth ARth) + | rewrite (ARdistr_l ARth) + | rewrite (ARdistr_r Rsth Reqe ARth) + | rewrite (ARadd_assoc ARth) + | rewrite (ARmul_assoc ARth) ]. + Ltac gen_add_push add Rsth Reqe ARth x := repeat (match goal with | |- context [add (add ?y x) ?z] => |