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Proof step 6 from proof putbar-override (previous step)

0 ≤ j ∧ bytes ≠ [] ∧ j ≤ j0 ∧ j0 < j + n→i(# bytes), 0 ≤ j, 0 ≤ j0, j ≤ j0, n→i(# bytes1) + j0 < j + n→i(# bytes), ∀ j1, j2, bytes0, r, st0. ¬ j2 < j1 ∧ ¬ j1 + n→i(# bytes0) < j2 + n→i(# bytes1) ∧ ¬ j1 < 0 ∧ ¬ j2 < 0 → putByteArray(bytes0, r, j1, putByteArray(bytes1, r, j2, st0)) = putByteArray(bytes0, r, j1, st0) ⊦ putByteArray(bytes, r1, j, putByteArray(bytes1, r1, j0 + 1, st)) = putByteArray(bytes, r1, j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
0 < j + n→i(# bytes), n→i(# bytes1) + j0 < j + n→i(# bytes), j ≤ j0, 0 ≤ j0, 0 ≤ j, j0 < j + n→i(# bytes), ∀ j1, j2, bytes0, r, st0. ¬ j2 < j1 ∧ ¬ j1 + n→i(# bytes0) < j2 + n→i(# bytes1) ∧ ¬ j1 < 0 ∧ ¬ j2 < 0 → putByteArray(bytes0, r, j1, putByteArray(bytes1, r, j2, st0)) = putByteArray(bytes0, r, j1, st0) ⊦ bytes = [], putByteArray(bytes, r1, j, putByteArray(bytes1, r1, j0 + 1, st)) = putByteArray(bytes, r1, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ # bytes = 0 ↔ bytes = []], [CSIMPSEQ : ⊦ 0 < n ↔ n ≠ 0], [CSIMPSEQ : 0 ≤ i ⊦ ((* i)) < n→i(n) ↔ i→n(i) < n], [CSIMPSEQ : ⊦ i < i + j ↔ 0 < j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0])]]