Nuprl - Proof: es-first-exists 1 2 2 1

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At: es-first-exists 1 2 2 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 )
5.

first(j)
6. e : E
7. e

pred(j)

By:	(Inst Thm* the_es:ES. Trans x,y:E. x y [es]) THEN (UseTrans pred(j))

Generated subgoal:

1 8. Trans x,y:E. x y
pred(j) j
2 steps

About:

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