diff options
| author | Jasper Hugunin | 2020-07-28 17:18:24 -0700 |
|---|---|---|
| committer | Jasper Hugunin | 2020-08-20 07:40:02 -0700 |
| commit | e070b2abb62e9f473147b13913a04f3385d18681 (patch) | |
| tree | 9fff64f0ed57f0f63e49633c493cbedce2ec803b | |
| parent | 73854ca09590ee8f9bb60916fbf3ed1af84c5e56 (diff) | |
Modify Init/Datatypes.v to compile with -mangle-names.
All except `pair_equal_spec` completely addressed by moving
dependent hypotheses before the colon.
| -rw-r--r-- | theories/Init/Datatypes.v | 27 |
1 files changed, 12 insertions, 15 deletions
diff --git a/theories/Init/Datatypes.v b/theories/Init/Datatypes.v index 77be679070..9984bff0c2 100644 --- a/theories/Init/Datatypes.v +++ b/theories/Init/Datatypes.v @@ -79,7 +79,7 @@ Register negb as core.bool.negb. (** Basic properties of [andb] *) -Lemma andb_prop : forall a b:bool, andb a b = true -> a = true /\ b = true. +Lemma andb_prop (a b:bool) : andb a b = true -> a = true /\ b = true. Proof. destruct a, b; repeat split; assumption. Qed. @@ -87,8 +87,8 @@ Hint Resolve andb_prop: bool. Register andb_prop as core.bool.andb_prop. -Lemma andb_true_intro : - forall b1 b2:bool, b1 = true /\ b2 = true -> andb b1 b2 = true. +Lemma andb_true_intro (b1 b2:bool) : + b1 = true /\ b2 = true -> andb b1 b2 = true. Proof. destruct b1; destruct b2; simpl; intros [? ?]; assumption. Qed. @@ -245,25 +245,22 @@ End projections. Hint Resolve pair inl inr: core. -Lemma surjective_pairing : - forall (A B:Type) (p:A * B), p = (fst p, snd p). +Lemma surjective_pairing (A B:Type) (p:A * B) : p = (fst p, snd p). Proof. destruct p; reflexivity. Qed. -Lemma injective_projections : - forall (A B:Type) (p1 p2:A * B), +Lemma injective_projections (A B:Type) (p1 p2:A * B) : fst p1 = fst p2 -> snd p1 = snd p2 -> p1 = p2. Proof. destruct p1; destruct p2; simpl; intros Hfst Hsnd. rewrite Hfst; rewrite Hsnd; reflexivity. Qed. -Lemma pair_equal_spec : - forall (A B : Type) (a1 a2 : A) (b1 b2 : B), +Lemma pair_equal_spec (A B : Type) (a1 a2 : A) (b1 b2 : B) : (a1, b1) = (a2, b2) <-> a1 = a2 /\ b1 = b2. Proof with auto. - split; intros. + split; intro H. - split. + replace a1 with (fst (a1, b1)); replace a2 with (fst (a2, b2))... rewrite H... @@ -286,7 +283,7 @@ Definition prod_curry (A B C:Type) : (A -> B -> C) -> A * B -> C := uncurry. Import EqNotations. -Lemma rew_pair : forall A (P Q : A->Type) x1 x2 (y1:P x1) (y2:Q x1) (H:x1=x2), +Lemma rew_pair A (P Q : A->Type) x1 x2 (y1:P x1) (y2:Q x1) (H:x1=x2) : (rew H in y1, rew H in y2) = rew [fun x => (P x * Q x)%type] H in (y1,y2). Proof. destruct H. reflexivity. @@ -347,7 +344,7 @@ Register Eq as core.comparison.Eq. Register Lt as core.comparison.Lt. Register Gt as core.comparison.Gt. -Lemma comparison_eq_stable : forall c c' : comparison, ~~ c = c' -> c = c'. +Lemma comparison_eq_stable (c c' : comparison) : ~~ c = c' -> c = c'. Proof. destruct c, c'; intro H; reflexivity || destruct H; discriminate. Qed. @@ -359,12 +356,12 @@ Definition CompOpp (r:comparison) := | Gt => Lt end. -Lemma CompOpp_involutive : forall c, CompOpp (CompOpp c) = c. +Lemma CompOpp_involutive c : CompOpp (CompOpp c) = c. Proof. destruct c; reflexivity. Qed. -Lemma CompOpp_inj : forall c c', CompOpp c = CompOpp c' -> c = c'. +Lemma CompOpp_inj c c' : CompOpp c = CompOpp c' -> c = c'. Proof. destruct c; destruct c'; auto; discriminate. Qed. @@ -405,7 +402,7 @@ Register CompEqT as core.CompareSpecT.CompEqT. Register CompLtT as core.CompareSpecT.CompLtT. Register CompGtT as core.CompareSpecT.CompGtT. -Lemma CompareSpec2Type : forall Peq Plt Pgt c, +Lemma CompareSpec2Type Peq Plt Pgt c : CompareSpec Peq Plt Pgt c -> CompareSpecT Peq Plt Pgt c. Proof. destruct c; intros H; constructor; inversion_clear H; auto. |
