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

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

False

By:	({x:k\| x = X } onto k) Asserted

Generated subgoals:

1 ({x:k| x = X } onto k)
7 steps

2 9. ({x:k| x = X } onto k)
False
2 steps

About:

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1	({x:k\| x = X } onto k)	7 steps
2	9. ({x:k\| x = X } onto k) False	2 steps