!x:A. P(x) == x:A. x is the x:A. P(x)
A:Type, P:(A
Prop). (!x:A. P(x)) 
Prop
Q == (P 
Q) & (P Q)A,B:Prop. (A B) Propx:A. g(f(x)) = x) & (y:B. f(g(y)) = y)f:(AB), g:(BA). InvFuns(A;B;f;g) Prop| Some definitions of interest. | |
| exists_unique | !x:A. P(x) == x:A. x is the x:A. P(x) |
| A:Type, P:(AProp). (!x:A. P(x)) Prop | |
| iff | Q == (P Q) & (P Q) |
| A,B:Prop. (A B) Prop | |
| inv_funs_2 | x:A. g(f(x)) = x) & (y:B. f(g(y)) = y) |
| f:(AB), g:(BA). InvFuns(A;B;f;g) Prop |
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