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Proof step 26 from proof copy-succ (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ i0 ≤ j0 ∧ j0 < i0 + j → r0 -- j0 ' ∈ arraycopy(r, i, r0, i0, j, st)
Proof step 24:
¬ (i0 ≤ i ∧ i < i0 + j), 0 ≤ j ⊦ r0 -- i ' ∈ (arraycopy(r1, i1, r0, i0, j, st)[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]) ↔ r0 -- i ' ∈ arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]), r1 = r0
Proof step 25:
⊦ i0 ≤ j0 ∧ j0 < i0 + j → r0 -- j0 ' ∈ arraycopy(r, i, r0, i0, j, st)

Rule argument

[crewrite-arg: copy-in-between , F , [st, j, i0, i, r, j0, r0] → [st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']], j, i0, i1, r1, i, r0] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ ¬ i < i], [CSIMPSEQ : ⊦ i + j < i + i0 ↔ j < i0], [CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [CSIMPSEQ : ⊦ i ≤ i + j ↔ 0 ≤ j], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st])], [EXTRATERMS : (st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']], j, i0, i1, r1, i, r0)]]