| Who Cites hsimp rec fun? |
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hsimp_rec_fun | Def simp_rec_fun
Def == x:'a. f:'a 'a. n: . @ fun:  'a. (simp_rec_rel(fun,x,f,n)) |
| | Thm* 'a:S. simp_rec_fun ('a  ('a  'a)  hnum  hnum  'a) |
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hsimp_rec_rel | Def simp_rec_rel
Def == fun:  'a. x:'a. f:'a 'a. n: .  (fun(0) = x
Def == & ( m: . m<n  fun(m+1) = f(fun(m)))) |
| | Thm* 'a:S. simp_rec_rel ((hnum  'a)  'a  ('a  'a)  hnum  hbool) |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
| | Thm* S |
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bchoose | Def @ x:'a. p(x) == @x:'a. p(x) |
| | Thm* 'a:S, p:('a  ). (@ x:'a. p(x)) 'a |
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tlambda | Def ( x:T. b(x))(x) == b(x) |
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prop_to_bool | Def  P == InjCase(lem(P) ; true ; false ) |
| | Thm* P:Prop. ( P)  |
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le | Def A B == B<A |
| | Thm* i,j: . (i j) Prop |
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assert | Def b == if b True else False fi |
| | Thm* b: . b 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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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |
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arb | Def arb(T) == InjCase(lem(T); x. x, "uu") |
| | Thm* T:S. arb(T) T |