Nuprl - Proof: inj point deletion inj 1 1 1 1 1 1 1

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At: inj point deletion inj 1 1 1 1 1 1 1

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

B
4. Inj(A; B; f)
5. a : A
6. f

{x:A|

x = a }

{y:B|

y = f(a) }
7. f(a)

B
8. a1 : {x:A|

x = a }
9. a2 : {x:A|

x = a }
10. f(a1) = f(a2)
11.

f(a1) = f(a)
12. a1 = a2
13. a1 = a

f(a1) = f(a)

By:	ApFun: f AB to: a1 = a A

Generated subgoals:

None

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html