Nuprl - Proof: ooc preserves dededkind inf 1 1 1

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At: ooc preserves dededkind inf 1 1 1

1. A : Type
2. B : Type
3. f : A

B
4. g : B

A
5. InvFuns(A;B;f;g)
6. a : A
7. h : A

A
8. Inj(A; A; h)
9.

(

x:A. h(x) = a)

Inj(B; B; f o h o g)

By:	BackThru: Thm* Inj(A; B; g) Inj(B; C; f) Inj(A; C; f o g)

Generated subgoals:

1 Inj(B; A; g)
1 step

2 Inj(A; B; f o h)
2 steps

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