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Proof step 73 from proof putByteArray-vals-addarray-01 (previous step)

i < 0 ∨ n→i(# mklist(initial_value(byte_type), (i→n(i1) + # bytes) + i→n(j))) + 0 ≤ i, 0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 ≤ i1, i < j ∨ n→i(# bytes) + j ≤ i ⊦ st[r -- i '] = (putArray(mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r, 0, st)[r -- i '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 ≤ i1, i < j ∨ n→i(# bytes) + j ≤ i, i < 0 ∨ n→i(# bytes) + i1 + j ≤ i ⊦ st[r -- i '] = (putArray(mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r, 0, st)[r -- i '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ 0 ≤ i → n→i(i→n(i)) = i], [CSIMPSEQ : ⊦ n→i(m + n) = n→i(m) + n→i(n)], [CSIMPSEQ : ⊦ # mklist(val, n) = n], [CSIMPSEQ : ⊦ i + j = j + i])]]