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Proof step 6 from proof copy-ident (previous step)

∀ j1, r, i, st, j0. i→n(j1) < i→n(j) → (true → (arraycopy(r, i, r, i, j1, st)[r -- j0 ']) = st[r -- j0 ']) ⊦ (arraycopy(r, i, r, i, j, st)[r -- j0 ']) = st[r -- j0 ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 0 < j → arraycopy(r1, i1, r2, i2, j, st) = arraycopy(r1, i1, r2, i2, j - 1, st[r2 -- (i2 + j - 1) ', st[r1 -- (i1 + j - 1) ']])
Proof step 2:
⊦ j ≤ 0 → arraycopy(r1, i1, r2, i2, j, st) = st
Proof step 5:
0 < j, ∀ j1, r, i, st, j0. i→n(j1) < i→n(j) → (true → (arraycopy(r, i, r, i, j1, st)[r -- j0 ']) = st[r -- j0 ']) ⊦ (arraycopy(r, i, r, i, j - 1, st[r -- (i + j - 1) ', st[r -- (i + j - 1) ']])[r -- j0 ']) = st[r -- j0 ']

Rule argument

[crewrite-arg: arrayCopy-rec , F , [st, j, i2, r2, i1, r1] → [st, j, i, r, i, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i])], [EXTRATERMS : (st, j, i, r, i, r)]]