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

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

1. Alph: Type
2. n:
3. n1:
4. f: n1Alph
5. Bij(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. b: {l:(Alph*)| ||l|| = n }
11. g1: Alphn1
12. InvFuns(n1; Alph; f; g1)

a:(n1n). f o g(a) = (z:||b||. b[z]) nAlph

By: Assert (a:(n1n). g(a) = g1 o (z:||b||. b[z]))

Generated subgoals:

1 a:(n1n). g(a) = g1 o (z:||b||. b[z]) nn1

2 13. a:(n1n). g(a) = g1 o (z:||b||. b[z]) nn1
a:(n1n). f o g(a) = (z:||b||. b[z]) nAlph

About:

1	`a:(n1n). g(a) = g1 o (z:\|\|b\|\|. b[z]) nn1`
2	13. `a:(n1n). g(a) = g1 o (z:\|\|b\|\|. b[z]) nn1` `a:(n1n). f o g(a) = (z:\|\|b\|\|. b[z]) nAlph`