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Proof step 4 from proof getbar-update-01 (previous step)

∀ r, r0, i, j, st. r = r0 ∨ getbytearray(r, i, j, update(r0, fis0, st)) = getbytearray(r, i, j, st) ⊦ r = r0, getbytearray(r, i, j, update(r0, (sk × val) ' + fis0, st)) = getbytearray(r, i, j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ update(r, (sk × val) ' + fis, st) = (update(r, fis, st)[r -- sk, val])
Proof step 3:
∀ r, r0, i, j, st. r = r0 ∨ getbytearray(r, i, j, update(r0, fis0, st)) = getbytearray(r, i, j, st) ⊦ r = r0, getbytearray(r, i, j, update(r0, fis0, st)) = getbytearray(r, i, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → getbytearray (r, i, j, st[r0 -- sk, val]) = getbytearray(r, i, j, st)], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])]]