Q == (P 
Q) & (P Q)
A,B:Prop. (A B) 
Prop
| i
k & kj }i,j:. {i...j} Type
} == {k:| i k < j }m,n:. {m..n} Type
== {i:| 0i } Type
f:(A
B), g:(BA). InvFuns(A;B;f;g)A,B:Type. (A ~ B) Prop
x:A. B(x) == x:A
B(x)| Some definitions of interest. | |
| iff | Q == (P Q) & (P Q) |
| A,B:Prop. (A B) Prop | |
| int_iseg | | ik & kj } |
| i,j:. {i...j} Type | |
| int_seg | } == {k:| i k < j } |
| m,n:. {m..n} Type | |
| nat | == {i:| 0i } |
| Type | |
| one_one_corr_2 | f:(AB), g:(BA). InvFuns(A;B;f;g) |
| A,B:Type. (A ~ B) Prop | |
| product_conventional_notation | x:A. B(x) == x:AB(x) |
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