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(* -*- coding:utf-8 -*- *)
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * Copyright INRIA, CNRS and contributors *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
(* Logic *)
Notation "∀ x .. y , P" := (forall x, .. (forall y, P) ..)
(at level 200, x binder, y binder, right associativity,
format "'[ ' '[ ' ∀ x .. y ']' , '/' P ']'") : type_scope.
Notation "∃ x .. y , P" := (exists x, .. (exists y, P) ..)
(at level 200, x binder, y binder, right associativity,
format "'[ ' '[ ' ∃ x .. y ']' , '/' P ']'") : type_scope.
Notation "x ∨ y" := (x \/ y) (at level 85, right associativity) : type_scope.
Notation "x ∧ y" := (x /\ y) (at level 80, right associativity) : type_scope.
Notation "x → y" := (x -> y)
(at level 99, y at level 200, right associativity): type_scope.
Notation "x ↔ y" := (x <-> y) (at level 95, no associativity): type_scope.
Notation "¬ x" := (~x) (at level 75, right associativity) : type_scope.
Notation "x ≠ y" := (x <> y) (at level 70) : type_scope.
(* Abstraction *)
Notation "'λ' x .. y , t" := (fun x => .. (fun y => t) ..)
(at level 200, x binder, y binder, right associativity,
format "'[ ' '[ ' 'λ' x .. y ']' , '/' t ']'").
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