Step
*
2
of Lemma
nth_tl_append
1. T : Type
2. u : T
3. v : T List
4. ∀[bs:T List]. (nth_tl(||v||;v @ bs) ~ bs)
⊢ ∀[bs:T List]. (nth_tl(||v|| + 1;[u / (v @ bs)]) ~ bs)
BY
{ ParallelLast }
1
1. T : Type
2. u : T
3. v : T List
4. [bs] : T List
5. nth_tl(||v||;v @ bs) ~ bs
⊢ nth_tl(||v|| + 1;[u / (v @ bs)]) ~ bs
Latex:
Latex:
1. T : Type
2. u : T
3. v : T List
4. \mforall{}[bs:T List]. (nth\_tl(||v||;v @ bs) \msim{} bs)
\mvdash{} \mforall{}[bs:T List]. (nth\_tl(||v|| + 1;[u / (v @ bs)]) \msim{} bs)
By
Latex:
ParallelLast
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