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Proof step 3 from proof copy-at (previous step)

0 < j, ∀ j0, r1, r0, r, i, i0, st, sk. i→n(j0) < i→n(j) → (true → (r1 ≠ r0 → (arraycopy(r, i, r0, i0, j0, st)[r1 -- sk]) = st[r1 -- sk])) ⊦ r1 = r0, (arraycopy(r, i, r0, i0, j - 1, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r1 -- sk]) = st[r1 -- sk]

User applied rule apply induction

And closed the goal!

Rule argument

[substlist-arg: [j0, r1, r0, r, i, i0, st, sk] → [j - 1, r1, r0, r, i, i0, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']], sk] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ i→n(i - 1) < i→n(i) ↔ 0 < i], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (j - 1, r1, r0, r, i, i0, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']], sk)]]