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Proof step 49 from proof putByteArray-vals-addarray-01 (previous step)

¬ i→n(i) < (i→n(i1) + # bytes) + i→n(j), 0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 ≤ i1, 0 ≤ i, 0 < n→i(# bytes) + i1 + j, i < n→i(# bytes) + i1 + j, i < n→i(# bytes) + j + i1, i < j ∨ n→i(# bytes) + j ≤ i ⊦ (mklist(initial_value(byte_type), (i→n(i1) + # bytes) + i→n(j))[i→n(i)]) = (mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)))[i→n(i)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 48:
0 ≤ j + n→i(# bytes) + i1, 0 ≤ n→i(# bytes) + i1, 0 ≤ j, 0 ≤ i1, 0 ≤ i, 0 < n→i(# bytes) + i1 + j, i < n→i(# bytes) + i1 + j, i < n→i(# bytes) + j + i1, (i→n(i1) + # bytes) + i→n(j) ≤ i→n(i), i < j ∨ n→i(# bytes) + j ≤ i ⊦ (mklist(initial_value(byte_type), (i→n(i1) + # bytes) + i→n(j))[i→n(i)]) = (mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)))[i→n(i)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])]]