Nuprl - Pf append_segment 1 1 1 1 1 1 2 1 1 1 1 1

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At: append segment 1 1 1 1 1 1 2 1 1 1 1 1

1. T: Type
2. as: T*
3. i: {0...||as||}
4. j: {i...||as||}
5. k: {j...||as||}
6. x:
7. 0 < x
8. kx+i

(firstn(-1+x;nth_tl(i;as)) @ [nth_tl(i;as)[(-1+x)]] @ firstn(-i+k+-x;nth_tl(i+x;as))) = (firstn(-1+x;nth_tl(i;as)) @ firstn(1+-i+k+-x;nth_tl(-1+i+x;as)))

By: Reduce 0 THEN Analyze

Generated subgoal:

1 nth_tl(i;as)[(-1+x)].firstn(-i+k+-x;nth_tl(i+x;as)) = firstn(1+-i+k+-x;nth_tl(-1+i+x;as))

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