82 lines
1.9 KiB
Text
82 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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-- ### Logical operations and relations
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precedence `¬`:40
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precedence `/\`:35 -- infixr
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precedence `∧`:35 -- infixr
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precedence `\/`:30 -- infixr
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precedence `∨`:30 -- infixr
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precedence `<->`:25
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precedence `↔`:25
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precedence `=`:50
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precedence `≠`:50
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precedence `rfl`:max -- shorthand for reflexivity
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precedence `≈`:50 -- used for path in hott
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precedence `∼`:50
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precedence `⁻¹`:100
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precedence `⬝`:75 -- infixr
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precedence `▸`:75 -- infixr
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-- ### types and type constructors
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precedence `ℕ`:max
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precedence `ℤ`:max
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precedence `⊎`:25 -- infixr
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precedence `×`:30 -- infixr
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-- ### arithmetic operations
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precedence `+`:65 -- infixl
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precedence `-`:65 -- infixl; for negation, follow by rbp 100
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precedence `*`:70 -- infixl
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precedence `div`:70 -- infixl
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precedence `mod`:70 -- infixl
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precedence `<=`:50
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precedence `≤`:50
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precedence `<`:50
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precedence `>=`:50
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precedence `≥`:50
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precedence `>`:50
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-- ### boolean operations
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precedence `&&`:70 -- infixl
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precedence `||`:65 -- infixl
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precedence `!`:85 -- boolean negation, follow by rbp 100
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-- ### set operations
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precedence `∈`:50
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precedence `∅`:max
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precedence `∩`:70
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precedence `∪`:65
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-- ### other symbols
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precedence `|`:55 -- used for absolute value, subtypes, divisibility
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precedence `++`:65 -- list append
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precedence `::`:65 -- list cons
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