(** See https://coq.inria.fr/bugs/show_bug.cgi?id=4319 for updates *) (** [set (x := y)] is about 50x slower than it needs to be in Coq 8.4, but is about 4x faster than the alternatives in 8.5. See https://coq.inria.fr/bugs/show_bug.cgi?id=3280 (comment 13) for more details. *) Ltac fast_set' x y := set (x := y). Ltac fast_set'_in x y H := set (x := y) in H. Tactic Notation "fast_set" "(" ident(x) ":=" constr(y) ")" := fast_set' x y. Tactic Notation "fast_set" "(" ident(x) ":=" constr(y) ")" "in" hyp(H) := fast_set'_in x y H. (** Add Coq 8.4+8.5 notations, so that we don't accidentally make use of Coq 8.4-only notations *) Require Coq.Lists.List. Require Coq.Vectors.Vector. Module Export LocalListNotations. Notation " [ ] " := nil (format "[ ]") : list_scope. Notation " [ x ; .. ; y ] " := (cons x .. (cons y nil) ..) : list_scope. Notation " [ x ; y ; .. ; z ] " := (cons x (cons y .. (cons z nil) ..)) : list_scope. End LocalListNotations. Module Export LocalVectorNotations. Notation " [ ] " := (Vector.nil _) (format "[ ]") : vector_scope. Notation " [ x ; .. ; y ] " := (Vector.cons _ x _ .. (Vector.cons _ y _ (Vector.nil _)) ..) : vector_scope. Notation " [ x ; y ; .. ; z ] " := (Vector.cons _ x _ (Vector.cons _ y _ .. (Vector.cons _ z _ (Vector.nil _)) ..)) : vector_scope. End LocalVectorNotations. Require Export Coq.funind.FunInd.