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Proof step 12 from proof putbar-put-override (previous step)

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)])

User applied rule all left

And obtained the following new goals

Proof step 11:
0 ≤ n→i(# bytes0) + j, j ≤ i, i ≤ n→i(# bytes0) + j, 0 ≤ j, 0 ≤ i, ¬ i < 0 ∧ ¬ j + 1 < 0 ∧ ¬ (j + 1) + n→i(# bytes0) ≤ i ∧ ¬ i < j + 1 ∧ ¬ (j + 1) + n→i(# bytes0) ≤ 0 → bytes0 = [] ∨ putByteArray(bytes0, r, j + 1, st[r -- i ', byteval(by)]) = putByteArray(bytes0, r, j + 1, st), ∀ 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

[EXRARG : pos: left 6, [extquanttermlist: (i, j + 1, r, st, by) abort:F , discard:F , computed:F ]]

Additional information

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