99 lines
2.3 KiB
Text
99 lines
2.3 KiB
Text
/-
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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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Module: general_notation
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Authors: Leonardo de Moura, Jeremy Avigad
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-/
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prelude
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import init.datatypes
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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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/-
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Global declarations of right binding strength
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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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-/
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definition std.prec.max : num := 1024 -- the strength of application, identifiers, (, [, etc.
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definition std.prec.arrow : num := 25
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/-
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The next definition is "max + 10". It can be used e.g. for postfix operations that should
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be stronger than application.
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-/
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definition std.prec.max_plus :=
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num.succ (num.succ (num.succ (num.succ (num.succ (num.succ (num.succ (num.succ (num.succ
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(num.succ std.prec.max)))))))))
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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 infixr `∘`:60 -- input with \comp
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reserve postfix `⁻¹`:std.prec.max_plus -- 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 infixl `/`: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 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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reserve notation `(` a `|` b `)`
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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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