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Proof step 5 from proof putBar-rew-01 (previous step)

putByteArray(bytes0, r, i + 1, st[r0 -- fs ', val]) = (putByteArray(bytes0, r, i + 1, st)[r0 -- fs ', val]) ⊦ (putByteArray(bytes0, r, i + 1, st)[r0 -- fs ', val][r -- i ', byteval(by)]) = (putByteArray(bytes0, r, i + 1, st)[r -- i ', byteval(by)][r0 -- fs ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) ,[val0, rk, val, rk0, st] → [val, r0 -- fs ', byteval(by), r -- i ', putByteArray(bytes0, r, i + 1, st)] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' ≠ i '], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (val, r0 -- fs ', byteval(by), r -- i ', putByteArray(bytes0, r, i + 1, st))]]