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Proof step 97 from proof copy-comp (previous step)

st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), r2 ∈ st0, ty0 ≤ ty, r2 -- _type ∈ st0, 0 ≤ i3, 0 ≤ i2, i2 + i3 ≤ i0, r2 -- _length ∈ st0, 0 ≤ i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0 ⊦ r2 = jvmref, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0) ↔ r2 -- i ' ∈ st0) ∧ (arraycopy(r1, i1, r2, i2, i3, st0)[r2 -- i ']) = st0[r2 -- i ']

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) ']
Proof step 88:
¬ (r1 ≠ r2 ∧ i2 ≤ i ∧ i < i2 + i3), st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), r2 ∈ st0, ty0 ≤ ty, r2 -- _type ∈ st0, 0 ≤ i3, 0 ≤ i2, i2 + i3 ≤ i0, r2 -- _length ∈ st0, 0 ≤ i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0 ⊦ r2 = jvmref, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0) ↔ r2 -- i ' ∈ st0) ∧ (arraycopy(r1, i1, r2, i2, i3, st0)[r2 -- i ']) = st0[r2 -- i ']
Proof step 96:
r1 ≠ r2 ∧ i2 ≤ i ∧ i < i2 + i3, st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), r2 ∈ st0, ty0 ≤ ty, r2 -- _type ∈ st0, 0 ≤ i3, 0 ≤ i2, i2 + i3 ≤ i0, r2 -- _length ∈ st0, 0 ≤ i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0 ⊦ r2 = jvmref, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0) ↔ r2 -- i ' ∈ st0) ∧ st0[r1 -- ((i - i2) + i1) '] = st0[r2 -- i ']

Rule argument

[speclemmaarg: , r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) '] ,[j0, st, j, i0, r0, i, r] → [i, st0, i3, i2, r2, i1, r1] ,F ,storearrays , ,copy-between ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i, st0, i3, i2, r2, i1, r1)]]