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Proof step 13 from proof putbar-put-override (previous step)

by0 ' + bytes0 ≠ [], by0 ' + bytes0 ≠ [], 0 ≤ n→i(# bytes0) + j, j ≤ i, i ≤ n→i(# bytes0) + j, 0 ≤ j, 0 ≤ i, ∀ i0, j0, r0, st0, by1. ¬ i0 < 0 ∧ ¬ j0 < 0 ∧ ¬ j0 + n→i(# bytes0) ≤ i0 ∧ ¬ i0 < j0 ∧ ¬ j0 + n→i(# bytes0) ≤ 0 → bytes0 = [] ∨ putByteArray(bytes0, r0, j0, st0[r0 -- i0 ', byteval(by1)]) = putByteArray(bytes0, r0, j0, st0) ⊦ (putByteArray((by0 ' + bytes0) .rest, r, j + 1, st[r -- i ', byteval(by)])[r -- j ', byteval((by0 ' + bytes0) .first)]) = (putByteArray((by0 ' + bytes0) .rest, r, j + 1, st)[r -- j ', byteval((by0 ' + bytes0) .first)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
0 ≤ n→i(# bytes0) + j, j ≤ i, i ≤ n→i(# bytes0) + j, 0 ≤ j, 0 ≤ i, ∀ i0, j0, r0, st0, by1. ¬ i0 < 0 ∧ ¬ j0 < 0 ∧ ¬ j0 + n→i(# bytes0) ≤ i0 ∧ ¬ i0 < j0 ∧ ¬ j0 + n→i(# bytes0) ≤ 0 → bytes0 = [] ∨ putByteArray(bytes0, r0, j0, st0[r0 -- i0 ', byteval(by1)]) = putByteArray(bytes0, r0, j0, st0) ⊦ (putByteArray(bytes0, r, j + 1, st[r -- i ', byteval(by)])[r -- j ', byteval(by0)]) = (putByteArray(bytes0, r, j + 1, st)[r -- j ', byteval(by0)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ by ' + bytes ≠ []], [CSIMPSEQ : ⊦ (by ' + bytes) .first = by], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ (by ' + bytes) .rest = bytes])]]