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Proof step 6 from proof putByteArray-put-switch (previous step)

putByteArray(bytes0, r, i + 1, st[r -- j ', byteval(by)]) = (putByteArray(bytes0, r, i + 1, st)[r -- j ', byteval(by)]), 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 insert equation

And obtained the following new goals

Rule argument

[inserteqarg: pos: left 1,F,T,()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i])]]