diff options
Diffstat (limited to 'theories/Structures/OrdersTac.v')
| -rw-r--r-- | theories/Structures/OrdersTac.v | 9 |
1 files changed, 5 insertions, 4 deletions
diff --git a/theories/Structures/OrdersTac.v b/theories/Structures/OrdersTac.v index 68ffc379..475a25a4 100644 --- a/theories/Structures/OrdersTac.v +++ b/theories/Structures/OrdersTac.v @@ -29,7 +29,7 @@ Set Implicit Arguments. [le x y -> le y z -> le x z]. *) -Inductive ord := OEQ | OLT | OLE. +Inductive ord : Set := OEQ | OLT | OLE. Definition trans_ord o o' := match o, o' with | OEQ, _ => o' @@ -70,7 +70,7 @@ Lemma le_refl : forall x, x<=x. Proof. intros; rewrite P.le_lteq; right; reflexivity. Qed. Lemma lt_irrefl : forall x, ~ x<x. -Proof. intros; apply StrictOrder_Irreflexive. Qed. +Proof. intros. apply StrictOrder_Irreflexive. Qed. (** Symmetry rules *) @@ -100,8 +100,9 @@ Local Notation "#" := interp_ord. Lemma trans : forall o o' x y z, #o x y -> #o' y z -> #(o+o') x z. Proof. -destruct o, o'; simpl; intros x y z; rewrite ?P.le_lteq; intuition; - subst_eqns; eauto using (StrictOrder_Transitive x y z) with *. +destruct o, o'; simpl; intros x y z; +rewrite ?P.le_lteq; intuition auto; +subst_eqns; eauto using (StrictOrder_Transitive x y z) with *. Qed. Definition eq_trans x y z : x==y -> y==z -> x==z := @trans OEQ OEQ x y z. |