Nuprl - Proof: injection le 1 1 1 1 1

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At: injection le 1 1 1 1 1

1. k :

2. 0<k
3.

m:

. (

f:(

(k-1)

m). Inj(

(k-1);

m; f))

k-1

m
4. m :

5. f :

k

m
6. Inj(

k;

m; f)
7. f(0)

m
8. i :

(k-1)
9. f(i) = m-1

f(k-1)

(m-1)

By:	AssertBY (f(k-1) = m-1) (Analyze 0 THEN AllHyps (j.Unfold `inject` j THEN InstHyp [i;k-1] j))

Generated subgoal:

1 10. f(k-1) = m-1
f(k-1) (m-1)
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