Nuprl - Proof: nsub inj exteq nsub surj 1 2 1 1 1 1 1 2 1

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At: nsub inj exteq nsub surj 1 2 1 1 1 1 1 2 1

1. k :

2. f :

k onto

k
3. f

k
4. Surj(

k; f)
5. X :

k
6. a :

k
7. f(X) = f(a)
8.

X = a
9. b :

a:{x:

x = X }. f(a) = b

By:	Decide: b = f(X)

Generated subgoals:

1 10. b = f(X)
a:{x:k| x = X }. f(a) = b
1 step

2 10. b = f(X)
a:{x:k| x = X }. f(a) = b
2 steps

About:

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

1	10. b = f(X) a:{x:k\| x = X }. f(a) = b	1 step
2	10. b = f(X) a:{x:k\| x = X }. f(a) = b	2 steps