| | Who Cites htype definition? |
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| htype_definition | Def type_definition == P:'a  . rep:'b 'a.  type_definition('a;'b;P;rep) |
| | | Thm* 'a,'b:S. type_definition (('a  hbool)  ('b  'a)  hbool) |
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| type_definition | Def type_definition('a;'b;P;rep)
Def == ( x',x'':'b. rep(x') = rep(x'') 'a  x' = x'')
Def == & ( x:'a. (P(x))  ( x':'b. x = rep(x'))) |
| | | Thm* 'a,'b:Type, P:('a  ), rep:('b 'a). type_definition('a;'b;P;rep) Prop |
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| prop_to_bool | Def  P == InjCase(lem(P) ; true ; false ) |
| | | Thm* P:Prop. ( P)  |
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| tlambda | Def ( x:T. b(x))(x) == b(x) |
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| assert | Def b == if b True else False fi |
| | | Thm* b: . b Prop |
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| iff | Def P  Q == (P  Q) & (P  Q) |
| | | Thm* A,B:Prop. (A  B) Prop |
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| rev_implies | Def P  Q == Q  P |
| | | Thm* A,B:Prop. (A  B) Prop |