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At: min el iff 2 1 1 1 1 1 1 1

1. E:
2. n:
3. k:
4. Refl(;x,y.x E y)
5. a,b:. (a E b) (b E a)
6. a,b,c:. (a E b) (b E c) (a E c)
7. Min{ x | xEn } = Min{ x | xEk }
8. n E Min{ x | xEk }
9. k E Min{ x | xEk }
10. Min{ x | xEk } E k

n E k

By: FwdThru 6 [8;10]

Generated subgoals:

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assertfunctionboolallimpliesequal