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Proof step 29 from proof copy-succ (previous step)

0 ≤ j ⊦ r -- i ' ∈ (arraycopy(r1, i1, r0, i0, j, st)[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]) ↔ r -- 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 17:
⊦ r1 ≠ r0 → (r1 -- sk ∈ arraycopy(r, i, r0, i0, j, st) ↔ r1 -- sk ∈ st)
Proof step 27:
¬ r ≠ r0, 0 ≤ j ⊦ r -- i ' ∈ (arraycopy(r1, i1, r0, i0, j, st)[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]) ↔ r -- i ' ∈ arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']]), r1 = r0
Proof step 28:
⊦ r1 ≠ r0 → (r1 -- sk ∈ arraycopy(r, i, r0, i0, j, st) ↔ r1 -- sk ∈ st)

Rule argument

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

Additional information

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