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Proof step 8 from proof get-eqex-03 (previous step)

eqex(st, st0, r0), eqex(st0, st, r0) ⊦ getarray(r, i, j, st0) = getarray(r, i, j, st), r = r0

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 7:
eqex(st, st0, r0), eqex(st0, st, r0) ⊦ ∀ j0. 0 ≤ j0 ∧ j0 < j → st0[r -- (i + j0) '] = st[r -- (i + j0) '], r = r0

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, i, r, st0, j, i, r)]]