Nuprl - Proof: disjoint increasing onto 1 1

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At: disjoint increasing onto 1 1

1. m :

2. n :

3. k :

4. f :

n

m
5. g :

k

m
6. increasing(f;n)
7. increasing(g;k)
8.

i:

m. (

j:

n. i = f(j))

(

j:

k. i = g(j))
9.

j1:

n, j2:

k.

f(j1) = g(j2)

m

n+k

By:	BackThru Thm* k,m:. (f:(km). Inj(k; m; f)) km

Generated subgoal:

1 f:(m(n+k)). Inj(m; (n+k); f)
10 steps

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