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Proof step 9 from proof get-puteq (previous step)

getarray(r, i, j, st) = getarray(r0, i, j, st0) ⊦ getarray(r, i, j, st[r -- sk, val0]) = getarray(r0, i, j, st0[r0 -- sk, val0])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ getarray(r, i, j, st) = getarray(r0, i0, j, st0) ↔ (∀ j0. 0 ≤ j0 ∧ j0 < j → st[r -- (i + j0) '] = st0[r0 -- (i0 + j0) '])
Proof step 8:
getarray(r, i, j, st) = getarray(r0, i, j, st0) ⊦ ∀ j0. 0 ≤ j0 ∧ j0 < j → (st[r -- sk, val0][r -- (i + j0) ']) = (st0[r0 -- sk, val0][r0 -- (i + j0) '])

Rule argument

[crewrite-arg: get-alleq , F , [st0, i0, r0, st, j, i, r] → [st0[r0 -- sk, val0], i, r0, st[r -- sk, val0], j, i, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0[r0 -- sk, val0], i, r0, st[r -- sk, val0], j, i, r)]]