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Proof step 11 from proof copy-succ (previous step)

0 ≤ j, i0 + j < i, i0 ≤ i ⊦ i = i0 + j, r1 = r0, (arraycopy(r1, i1, r0, i0, j, st)[r0 -- i ']) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r0 -- i '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ i0 + j ≤ j0 → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r0 -- j0 ']
Proof step 10:
⊦ i0 + j ≤ j0 → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r0 -- j0 ']

Rule argument

[crewrite-arg: copy-upper , F , [j0, st, j, i0, r0, i, r] → [i, st, j, i0, r0, i1, r1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0])], [EXTRATERMS : (i, st, j, i0, r0, i1, r1)]]