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Proof step 4 from proof putbar-refval (previous step)

(putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)][r1 -- i0 ']) = refval(r0), ∀ r1, i, st, i0, r0. (putByteArray(bytes0, r1, i, st)[r1 -- i0 ']) = refval(r0) → st[r1 -- i0 '] = refval(r0) ⊦ r1 -- i0 ' = r1 -- i ', st[r1 -- i0 '] = refval(r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
(putByteArray(bytes0, r1, i + 1, st)[r1 -- i0 ']) = refval(r0), ∀ r1, i, st, i0, r0. (putByteArray(bytes0, r1, i, st)[r1 -- i0 ']) = refval(r0) → st[r1 -- i0 '] = refval(r0) ⊦ st[r1 -- i0 '] = refval(r0), i0 = i

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]])]]