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Proof step 5 from proof getarray-putbar-01 (previous step)

by ' + bytes0 ≠ [], ∀ r, r1, i, j, i0, st. r = r1 ∨ getarray(r, i, j, putByteArray(bytes0, r1, i0, st)) = getarray(r, i, j, st) ⊦ r = r1, getarray(r, i, j, putByteArray((by ' + bytes0) .rest, r1, i0 + 1, st)[r1 -- i0 ', byteval((by ' + bytes0) .first)]) = getarray(r, i, j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ r ≠ r0 → getarray(r, i, j, st[r0 -- sk, val]) = getarray(r, i, j, st)
Proof step 4:
∀ r, r1, i, j, i0, st. r = r1 ∨ getarray(r, i, j, putByteArray(bytes0, r1, i0, st)) = getarray(r, i, j, st) ⊦ r = r1, getarray(r, i, j, putByteArray(bytes0, r1, i0 + 1, st)) = getarray(r, i, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ by ' + bytes ≠ []], [CSIMPSEQ : ⊦ (by ' + bytes) .first = by], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ (by ' + bytes) .rest = bytes])]]