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At: en inj 1 2 1 2 2 1 1 1
1. n:
2. m:
3. 0 < m
4. l1,l2:n*. ||l1|| = m-1 & ||l2|| = m-1 en(l1) = en(l2) l1 = l2
5. u: n
6. v: n*
7. u1: n
8. v1: n*
9. ||u.v|| = m & ||u1.v1|| = m
10. u+en(v)n = u1+en(v1)n

u.v = u1.v1
By: Inst Thm* n:, r1,r2:n, q1,q2:. r1+q1n = r2+q2n r1 = r2 & q1 = q2 [n;u;u1;en(v);en(v1)]
Generated subgoal:

111. u = u1 & en(v) = en(v1)
u.v = u1.v1

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