diff options
Diffstat (limited to 'plugins/omega/PreOmega.v')
| -rw-r--r-- | plugins/omega/PreOmega.v | 8 |
1 files changed, 6 insertions, 2 deletions
diff --git a/plugins/omega/PreOmega.v b/plugins/omega/PreOmega.v index 59fd9b80..94a3d404 100644 --- a/plugins/omega/PreOmega.v +++ b/plugins/omega/PreOmega.v @@ -85,6 +85,7 @@ Ltac zify_binop t thm a b:= Ltac zify_op_1 := match goal with + | x := ?t : Z |- _ => let h := fresh "heq_" x in pose proof (eq_refl : x = t) as h; clearbody x | |- context [ Z.max ?a ?b ] => zify_binop Z.max Z.max_spec a b | H : context [ Z.max ?a ?b ] |- _ => zify_binop Z.max Z.max_spec a b | |- context [ Z.min ?a ?b ] => zify_binop Z.min Z.min_spec a b @@ -114,6 +115,7 @@ Ltac hide_Z_of_nat t := Ltac zify_nat_rel := match goal with (* I: equalities *) + | x := ?t : nat |- _ => let h := fresh "heq_" x in pose proof (eq_refl : x = t) as h; clearbody x | |- (@eq nat ?a ?b) => apply (Nat2Z.inj a b) (* shortcut *) | H : context [ @eq nat ?a ?b ] |- _ => rewrite <- (Nat2Z.inj_iff a b) in H | |- context [ @eq nat ?a ?b ] => rewrite <- (Nat2Z.inj_iff a b) @@ -181,7 +183,7 @@ Ltac zify_nat_op := let t := eval compute in (Z.of_nat (S a)) in change (Z.of_nat (S a)) with t in H | _ => rewrite (Nat2Z.inj_succ a) in H - | _ => (* if the [rewrite] fails (most likely a dependent occurence of [Z.of_nat (S a)]), + | _ => (* if the [rewrite] fails (most likely a dependent occurrence of [Z.of_nat (S a)]), hide [Z.of_nat (S a)] in this one hypothesis *) change (Z.of_nat (S a)) with (Z_of_nat' (S a)) in H end @@ -192,7 +194,7 @@ Ltac zify_nat_op := let t := eval compute in (Z.of_nat (S a)) in change (Z.of_nat (S a)) with t | _ => rewrite (Nat2Z.inj_succ a) - | _ => (* if the [rewrite] fails (most likely a dependent occurence of [Z.of_nat (S a)]), + | _ => (* if the [rewrite] fails (most likely a dependent occurrence of [Z.of_nat (S a)]), hide [Z.of_nat (S a)] in the goal *) change (Z.of_nat (S a)) with (Z_of_nat' (S a)) end @@ -223,6 +225,7 @@ Ltac hide_Zpos t := Ltac zify_positive_rel := match goal with (* I: equalities *) + | x := ?t : positive |- _ => let h := fresh "heq_" x in pose proof (eq_refl : x = t) as h; clearbody x | |- (@eq positive ?a ?b) => apply Pos2Z.inj | H : context [ @eq positive ?a ?b ] |- _ => rewrite <- (Pos2Z.inj_iff a b) in H | |- context [ @eq positive ?a ?b ] => rewrite <- (Pos2Z.inj_iff a b) @@ -348,6 +351,7 @@ Ltac hide_Z_of_N t := Ltac zify_N_rel := match goal with (* I: equalities *) + | x := ?t : N |- _ => let h := fresh "heq_" x in pose proof (eq_refl : x = t) as h; clearbody x | |- (@eq N ?a ?b) => apply (N2Z.inj a b) (* shortcut *) | H : context [ @eq N ?a ?b ] |- _ => rewrite <- (N2Z.inj_iff a b) in H | |- context [ @eq N ?a ?b ] => rewrite <- (N2Z.inj_iff a b) |