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Proof step 9 from proof putByteArray-put-switch (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
j < i, 0 ≤ j, 0 ≤ i, 0 < i, ∀ j0, i0, r0, st0, by1. ¬ i0 ≤ j0 ∧ ¬ j0 < 0 ∧ ¬ i0 ≤ 0 → putByteArray(bytes0, r0, i0, st0[r0 -- j0 ', byteval(by1)]) = (putByteArray(bytes0, r0, i0, st0)[r0 -- j0 ', byteval(by1)]) ⊦ (putByteArray(bytes0, r, i + 1, st[r -- j ', byteval(by)])[r -- i ', byteval(by0)]) = (putByteArray(bytes0, r, i + 1, st)[r -- i ', byteval(by0)][r -- j ', byteval(by)])

Rule argument

[emptyarg]

Additional information

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