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Proof step 117 from proof putByteArray-vals-addarray-01 (conclusion)

⊦ 0 ≤ j ∧ j ≤ i ∧ 0 ≤ i1 ∧ i = j + n→i(# bytes) + i1 → putByteArray(bytes, r, j, addarray(r, byte_type, i, st)) = addarray(r, byte_type, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 116:
0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1 ⊦ putByteArray(bytes, r, j, addarray(r, byte_type, j + n→i(# bytes) + i1, st)) = addarray(r, byte_type, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i ≤ i + j ↔ 0 ≤ j])]]