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At: auto2 lemma 6 1 1 1 1 1 2 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1

1. n:
2. 0 < n
3. T: Type
4. R: TProp
5. f: nT
6. Inj(n; T; f)
7. (t:{t:T| t = f(n-1) }. R(t))
8. t: T
9. R(t)
10. a: n
11. f(a) = t
12. a = n-1 n
13. R(f(a))

False

By: ApFunToHypEquands `x' (R(x)) Prop 11

Generated subgoal:

114. R(f(a)) = R(t)
False


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falseapplypropintless_thannatural_number
universefunctionexistssetequalsubtract