Nuprl - Pf en_inj 1 2 1 2

PrintForm Definitions exponent Sections AutomataTheory Doc

1. n:
2. m:
3. 0 < m
4. l1,l2:n*. ||l1|| = m-1 & ||l2|| = m-1 en(l1) = en(l2) l1 = l2
5. l1: n*
6. l2: n*
7. u: n
8. v: n*

||u.v|| = m & ||l2|| = m en(u.v) = en(l2) u.v = l2

By: Analyze 6

Generated subgoals:

1 ||u.v|| = m & ||nil|| = m en(u.v) = en(nil) u.v = nil

2 9. u1: n
10. v1: n*
||u.v|| = m & ||u1.v1|| = m en(u.v) = en(u1.v1) u.v = u1.v1

About:

1	`\|\|u.v\|\| = m & \|\|nil\|\| = m en(u.v) = en(nil) u.v = nil`
2	9. `u1:` `n` 10. `v1:` `n*` `\|\|u.v\|\| = m & \|\|u1.v1\|\| = m en(u.v) = en(u1.v1) u.v = u1.v1`