k:
. k! 
i:{k-m..k
}. i+1m,k:. k!m 
B == {f:(A
B)| Inj(A; B; f) }A,B:Type. A inj B Type} == {k:
| i 
k < j }m,n:. {m..n} Type == {i:| 0i } Type
f:(AB), g:(BA). InvFuns(A;B;f;g)A,B:Type. (A ~ B) Prop| Some definitions of interest. | |
| factorial_via_iter | |
| k:. k! | |
| factorial_tail_via_iter | i:{k-m..k}. i+1 |
| m,k:. k!m | |
| injection_type | B == {f:(AB)| Inj(A; B; f) } |
| A,B:Type. A inj B 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 |
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