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Proof step 92 from proof putarray-addarray-override (previous step)

0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0), i + n→i(# vals) + n→i(# restn(i→n(i) + # vals, vals0)) ≤ i0, n→i(# vals) + i ≤ i0, # vals0 ≤ i→n(i0), 0 ≤ i0 ⊦ (addarray(r0, ty, vals0, st)[r0 -- i0 ']) = st[r0 -- i0 ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 78:
⊦ i < 0 ∨ n→i(# vals) ≤ i → (addarray(r, ty, vals, st)[r -- i ']) = st[r -- i ']
Proof step 91:
¬ (i0 < 0 ∨ n→i(# vals0) ≤ i0), 0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0), i + n→i(# vals) + n→i(# restn(i→n(i) + # vals, vals0)) ≤ i0, n→i(# vals) + i ≤ i0, # vals0 ≤ i→n(i0), 0 ≤ i0 ⊦ (addarray(r0, ty, vals0, st)[r0 -- i0 ']) = st[r0 -- i0 ']

Rule argument

[crewrite-arg: add-at-other-index , F , [i, st, vals, ty, r] → [i0, st, vals0, ty, r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i0, st, vals0, ty, r0)]]