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Proof step 5 from proof arrayComp-08 (previous step)

getarray(r1, i1, j, st) = getarray(r2, i2, j, st), j0 < j, 0 < j, 0 ≤ j0 ⊦ st[r1 -- (i1 + j0) '] .byteval = st[r2 -- (i2 + j0) '] .byteval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 4:
∀ j0. 0 ≤ j0 ∧ j0 < j → st[r1 -- (i1 + j0) '] = st[r2 -- (i2 + j0) '], j0 < j, 0 < j, 0 ≤ j0 ⊦ st[r1 -- (i1 + j0) '] .byteval = st[r2 -- (i2 + j0) '] .byteval

Rule argument

[crewrite-arg: get-alleq , F , [st0, i0, r0, st, j, i, r] → [st, i2, r2, st, j, i1, r1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, i2, r2, st, j, i1, r1)]]