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