Nuprl - Pf auto2_lemma_5 1 1 1 1 1 1 2 1 1 1 1 2 1 1

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At: auto2 lemma 5 1 1 1 1 1 1 2 1 1 1 1 2 1 1

1. Alph: Type
2. n:
3. n1:
4. f: n1Alph
5. Inj(n1; Alph; f)
6. f:((nn1)(n1n)). Bij(nn1; (n1n); f)
7. f1: (nn1)(n1n)
8. g: (n1n)nn1
9. InvFuns(nn1; (n1n); f1; g)
10. a1: (n1n)
11. a2: (n1n)
12. ((f o g(a1))[n]) = ((f o g(a2))[n]) {l:(Alph*)| ||l|| = n }
13. (i.(f o g(a1))(i)) = (i.(f o g(a2))(i)) nAlph

a1 = a2

By: Unfold `inject` 5

Generated subgoal:

1 5. a1,a2:n1. f(a1) = f(a2) a1 = a2
6. f:((nn1)(n1n)). Bij(nn1; (n1n); f)
7. f1: (nn1)(n1n)
8. g: (n1n)nn1
9. InvFuns(nn1; (n1n); f1; g)
10. a1: (n1n)
11. a2: (n1n)
12. ((f o g(a1))[n]) = ((f o g(a2))[n]) {l:(Alph*)| ||l|| = n }
13. (i.(f o g(a1))(i)) = (i.(f o g(a2))(i)) nAlph
a1 = a2

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