| Who Cites hzero rep? |
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hzero_rep | Def zero_rep == @x: . ( y: . x = suc_rep(y) ) |
| | Thm* zero_rep hind |
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hsuc_rep | Def suc_rep == x: . (@f:   . (one_one( ; ;f) & onto( ; ;f)))(x) |
| | Thm* suc_rep (hind  hind) |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
| | Thm* S |
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le | Def A B == B<A |
| | Thm* i,j: . (i j) Prop |
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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |
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choose | Def @x:T. P(x) == InjCase(lem({x:T| P(x) }); x. x, arb(T)) |
| | Thm* T:S, P:(T Type). (@x:T. P(x)) T |
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onto | Def onto('a;'b;f) == y:'b. x:'a. y = f(x) |
| | Thm* 'a,'b:Type, f:('a 'b). onto('a;'b;f) Prop |
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one_one | Def one_one('a;'b;f) == x,y:'a. f(x) = f(y) 'b  x = y |
| | Thm* 'a,'b:Type, f:('a 'b). one_one('a;'b;f) Prop |
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tlambda | Def ( x:T. b(x))(x) == b(x) |
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arb | Def arb(T) == InjCase(lem(T); x. x, "uu") |
| | Thm* T:S. arb(T) T |