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Proof step 15 from proof copy-same-01-01 (previous step)

r2 ∈ st0, 0 < i3, 0 ≤ i, 0 ≤ i2, exactarray(r2, int_type, st0), i < i3, i2 + i3 ≤ st0[r2 -- _length] .intval ⊦ r2 = jvmref, r1 = r2, (r -- sk ∈ arraycopy(r1, i1, r2, i2, i3, st0[r2 -- (i2 + i) ', val]) ↔ r -- sk ∈ arraycopy(r1, i1, r2, i2, i3, st0)) ∧ (arraycopy(r1, i1, r2, i2, i3, st0[r2 -- (i2 + i) ', val])[r -- sk]) = (arraycopy(r1, i1, r2, i2, i3, st0)[r -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r1 ≠ r0 → (arraycopy(r, i, r0, i0, j, st)[r1 -- sk]) = st[r1 -- sk]
Proof step 14:
¬ r ≠ r2, r2 ∈ st0, 0 < i3, 0 ≤ i, 0 ≤ i2, exactarray(r2, int_type, st0), i < i3, i2 + i3 ≤ st0[r2 -- _length] .intval ⊦ r2 = jvmref, r1 = r2, (r -- sk ∈ arraycopy(r1, i1, r2, i2, i3, st0[r2 -- (i2 + i) ', val]) ↔ r -- sk ∈ arraycopy(r1, i1, r2, i2, i3, st0)) ∧ (arraycopy(r1, i1, r2, i2, i3, st0[r2 -- (i2 + i) ', val])[r -- sk]) = (arraycopy(r1, i1, r2, i2, i3, st0)[r -- sk])

Rule argument

[speclemmaarg: ,r1 ≠ r0 → (arraycopy(r, i, r0, i0, j, st)[r1 -- sk]) = st[r1 -- sk] ,[sk, r1, st, j, i0, r0, i, r] → [sk, r, st0[r2 -- (i2 + i) ', val], i3, i2, r2, i1, r1] ,F ,storearrays , ,copy-at ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r1 ≠ r0 → ( r1 -- sk ∈ arraycopy (r, i, r0, i0, j, st) ↔ r1 -- sk ∈ st)], [CSIMPSEQ : ⊦ r ≠ r0 → ( r -- sk ∈ st[r0 -- sk0, val] ↔ r -- sk ∈ st)], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r1 ≠ r0 → (arraycopy(r, i, r0, i0, j, st) [r1 -- sk ] ) = st[r1 -- sk]])], [EXTRATERMS : (sk, r, st0[r2 -- (i2 + i) ', val], i3, i2, r2, i1, r1)]]