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Proof step 39 from proof putarray-add-same (previous step)

i < 0 ∨ n→i(# vals) ≤ i ⊦ (putArray(vals, r0, 0, addarray(r0, ty, n→i(# vals), st))[r0 -- i ']) = st[r0 -- i ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ i < j ∨ n→i(# vals) + j ≤ i → (putArray(vals, r, j, st)[r0 -- i ']) = st[r0 -- i ']
Proof step 38:
i < 0 ∨ n→i(# vals) + 0 ≤ i, i < 0 ∨ n→i(# vals) ≤ i ⊦ (addarray(r0, ty, n→i(# vals), st)[r0 -- i ']) = st[r0 -- i ']

Rule argument

[speclemmaarg: , i < j ∨ n→i(# vals) + j ≤ i → (putArray(vals, r, j, st)[r0 -- i ']) = st[r0 -- i '] ,[i, r0, st, j, r, vals] → [i, r0, addarray(r0, ty, n→i(# vals), st), 0, r0, vals] ,F ,storearrays , ,putar-atother ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (i, r0, addarray(r0, ty, n→i(# vals), st), 0, r0, vals)]]