x:A. x 
B) & (x:B. x A)
B(x) == x:{x:A| P(x) }B(x)
| i
k & kj }i,j:. {i...j} Type
} == {k:| i k < j }m,n:. {m..n} Type
A == A 
FalseA:Prop. (A) Prop
f:(AB), g:(BA). InvFuns(A;B;f;g)A,B:Type. (A ~ B) Prop| Some definitions of interest. | |
| exteq | x:A. x B) & (x:B. x A) |
| fun_over_st | B(x) == x:{x:A| P(x) }B(x) |
| int_iseg | | ik & kj } |
| i,j:. {i...j} Type | |
| int_seg | } == {k:| i k < j } |
| m,n:. {m..n} Type | |
| not | A == A False |
| A:Prop. (A) Prop | |
| one_one_corr_2 | f:(AB), g:(BA). InvFuns(A;B;f;g) |
| A,B:Type. (A ~ B) Prop |
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