Nuprl - Proof: es-first-exists 1

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At: es-first-exists 1

1. es : ES
2. WellFnd{i}(E;x,y.(x <loc y))
3. j : E
4.

k:E. (k <loc j)

(

e:E. first(e) & e

k )

e:E. first(e) & e

By:	Decide first(j)

Generated subgoals:

1 5. first(j)
e:E. first(e) & e j
2 steps

2 5. first(j)
e:E. first(e) & e j
6 steps

About:

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1	5. first(j) e:E. first(e) & e j	2 steps
2	5. first(j) e:E. first(e) & e j	6 steps