| Who Cites append? |
|
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 |
|
equivalence | Def {T } == {f:(T T  )| ( x:T. (f(x,x))) & ( x,y:T. (f(x,y))  (f(y,x))) & ( x,y,z:T. (f(x,y))  (f(y,z))  (f(x,z))) } |
| | Thm* T:Type{i}. {T } Type{i'} |
|
assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
|
iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |
|
rev_implies | Def P  Q == Q  P |
| | Thm* A,B:Prop. (A  B) Prop |