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Last change
on this file since 2131 was
1908,
checked in by fguidi, 9 years ago
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notation fixup following last commit of matita
we shifted the levels of precedence from 50 to 60 up by 5
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File size:
756 bytes
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| 1 | include "basics/relations.ma". |
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| 2 | |
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| 3 | definition proper ≝ λA,B.λrelA : relation A.λrelB : relation B. |
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| 4 | λf,g : A → B. |
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| 5 | ∀a,a' : A.relA a a' → relB (f a) (g a'). |
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| 6 | |
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| 7 | definition proper_contra ≝ λA,B.λrelA : relation A.λrelB : relation B. |
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| 8 | λf,g : A → B. |
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| 9 | ∀a,a' : A.relA a' a → relB (f a) (g a'). |
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| 10 | |
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| 11 | |
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| 12 | interpretation "proper" 'proper r s = (proper ? ? r s). |
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| 13 | interpretation "proper contravariant" 'proper_contra r s = (proper_contra ? ? r s). |
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| 14 | |
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| 15 | notation "r ++> s" right associative with precedence 56 for |
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| 16 | @{'proper $r $s}. |
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| 17 | |
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| 18 | notation "r -+> s" right associative with precedence 56 for |
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| 19 | @{'proper_contra $r $s}. |
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| 20 | |
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| 21 | (* avoid notation from kikcing in in outputm to avoid things like X ⊨ Prod *) |
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| 22 | notation > "f ⊨ p " with precedence 55 for @{$p $f $f}. |
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