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Proof step 8 from proof putByteArray-put-switch (previous step)

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)])

User applied rule all left

And obtained the following new goals

Proof step 7:
j < i, 0 ≤ j, 0 ≤ i, 0 < i, ¬ i + 1 ≤ j ∧ ¬ j < 0 ∧ ¬ i + 1 ≤ 0 → putByteArray(bytes0, r, i + 1, st[r -- j ', byteval(by)]) = (putByteArray(bytes0, r, i + 1, st)[r -- j ', byteval(by)]), ∀ 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

[EXRARG : pos: left 5, [extquanttermlist: (j, i + 1, r, st, by) abort:F , discard:F , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (j, i + 1, r, st, by)]]