/- Copyright (c) 2014 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Module: general_notation Authors: Leonardo de Moura, Jeremy Avigad -/ prelude import init.datatypes notation `assume` binders `,` r:(scoped f, f) := r notation `take` binders `,` r:(scoped f, f) := r /- Global declarations of right binding strength If a module reassigns these, it will be incompatible with other modules that adhere to these conventions. When hovering over a symbol, use "C-u C-x =" to see how to input it. -/ /- Logical operations and relations -/ definition std.prec.max : num := 1024 -- reflects max precedence used internally definition std.prec.arrow : num := 25 reserve prefix `¬`:40 reserve prefix `~`:40 reserve infixr `∧`:35 reserve infixr `/\`:35 reserve infixr `\/`:30 reserve infixr `∨`:30 reserve infix `<->`:25 reserve infix `↔`:25 reserve infix `=`:50 reserve infix `≠`:50 reserve infix `≈`:50 reserve infix `∼`:50 reserve infixr `∘`:60 -- input with \comp reserve postfix `⁻¹`:100 --input with \sy or \-1 or \inv reserve infixl `⬝`:75 reserve infixr `▸`:75 /- types and type constructors -/ reserve infixl `⊎`:25 reserve infixl `×`:30 /- arithmetic operations -/ reserve infixl `+`:65 reserve infixl `-`:65 reserve infixl `*`:70 reserve infixl `div`:70 reserve infixl `mod`:70 reserve prefix `-`:100 reserve infix `<=`:50 reserve infix `≤`:50 reserve infix `<`:50 reserve infix `>=`:50 reserve infix `≥`:50 reserve infix `>`:50 /- boolean operations -/ reserve infixl `&&`:70 reserve infixl `||`:65 /- set operations -/ reserve infix `∈`:50 reserve infixl `∩`:70 reserve infixl `∪`:65 /- other symbols -/ precedence `|`:55 reserve notation | a:55 | reserve infixl `++`:65 reserve infixr `::`:65 -- Yet another trick to anotate an expression with a type definition is_typeof (A : Type) (a : A) : A := a notation `typeof` t `:` T := is_typeof T t