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At: comp choice 1

1. E: Prop
2. EquivRel x,y:. x E y
3. x,y:. Dec(x E y)

h:(). (n,k:. (n E k) h(n) = h(k)) & (n:. n E (h(n)))

By: FwdThru Thm* R:(TTProp). (x,y:T. Dec(x R y)) (r:(TT). x,y:T. (x r y) (x R y)) [3]

Generated subgoal:

14. r:(). x,y:. (x r y) (x E y)
h:(). (n,k:. (n E k) h(n) = h(k)) & (n:. n E (h(n)))


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existsfunctionandallequalapplyprop