| Who Cites append? |
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append | Def as @ bs == Case of as; nil bs ; a.as' a.(as' @ bs) (recursive) |
| | Thm* T:Type, as,bs:T List. (as @ bs) T List |
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discrete_equality | Def {T= } == {eq:(T T  )| x,y:T. (eq(x,y))  x = y } |
| | Thm* T:Type. {T= } Type |
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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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is_member | Def x( eq) L == (letrec is_member x eq L = (Case of L; nil false ; h.t if eq(x,h) true else is_member(x,eq,t) fi) ) (x,eq,L) |
| | Thm* T:Type, eq:(T T  ), u:T. u( eq) nil  |
| | Thm* T:Type, eq:(T T  ), x:T, L:T List. x( eq) L  |
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remove | Def remove(eq;x;L) == (letrec remove eq x L = (Case of L; nil nil ; h.t if eq(x,h) t else h.remove(eq,x,t) fi) ) (eq,x,L) |
| | Thm* T:Type, eq:(T T  ), x:T, L:T List. remove(eq;x;L) T List |
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rev_implies | Def P  Q == Q  P |
| | Thm* A,B:Prop. (A  B) Prop |
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letrec_body | Def = b == b |
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letrec_arg | Def x b(x) (x) == b(x) |
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letrec | Def (letrec f b(f)) == b((letrec f b(f)) ) (recursive) |