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Proof step 3 from proof putByteArray-put-switch-01 (previous step)

0 ≤ j ⊦ putByteArray(bytes, r, j + 1, st[r -- j ', byteval(by)]) = (putByteArray(bytes, r, j + 1, st)[r -- j ', byteval(by)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ j ∧ 0 ≤ i ∧ j < i → putByteArray(bytes, r, i, st[r -- j ', byteval(by)]) = (putByteArray(bytes, r, i, st)[r -- j ', byteval(by)])

Rule argument

[crewrite-arg: putByteArray-put-switch , F , [by, j, st, i, r, bytes] → [by, j, st, j + 1, r, bytes] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ((* j)) ≤ i0 + ((* j0)) ↔ j - j0 ≤ i0], [CSIMPSEQ : i0 ≠ 0, i0 ≤ i ⊦ ((* i)) ≤ j → ((* i0)) ≤ j], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ ¬ i < i], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (by, j, st, j + 1, r, bytes)]]