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(* -*- coding:utf-8 -*- *) (************************************************************************) (* * The Coq Proof Assistant / The Coq Development Team *) (* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) (* <O___,, * (see CREDITS file for the list of authors) *) (* \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 ']'").