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Proof step 60 from proof putByteArray-vals-addarray-01 (previous step)

¬ i→n(i) < # mklist(initial_value(byte_type), i→n(j)), 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 ⊦ initial_value(byte_type) = (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 59:
n→i(# bytes) + j ≤ i, j ≤ i, i < n→i(# bytes) + j + i1, i < n→i(# bytes) + i1 + j, 0 < n→i(# bytes) + i1 + j, 0 ≤ i, 0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1, 0 ≤ j + n→i(# bytes) + i1, i→n(i) < (i→n(i1) + # bytes) + i→n(j), 0 < i1, 0 < n→i(# bytes) + i1 ⊦ initial_value(byte_type) = (mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)))[i→n(i) - i→n(j)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i < i + j ↔ 0 < j], [CSIMPSEQ : ⊦ i + j < i + i0 ↔ j < i0], [CSIMPSEQ : ⊦ m < n → n ≠ 0], [CSIMPFORWARD : ⊦ m < n → n ≠ 0], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ 0 ≤ i → abs(i) = i], [CSIMPSEQ : ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # mklist(val, n) = n], [CSIMPSEQ : ⊦ ¬ n < # vals → (vals + vals0)[n] = vals0[n - # vals]])]]