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Proof step 15 from proof copy-comp (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), 0 < i1, i < i1, i2 + i3 ≤ i1, r2 -- i ' ∈ st0, 0 < i3, 0 < i0, i2 < i0, 0 < i2 + i3, i < i0, r2 ∈ st0, ty0 ≤ ty, r2 -- _type ∈ st0, 0 ≤ i3, 0 ≤ i2, i2 + i3 ≤ i0, r2 -- _length ∈ st0, 0 ≤ i0, i2 ≤ i, 0 ≤ i, i < i2 + i3, i2 < i1, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r2 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0 ⊦ st0[r2 -- (i1 + i - i2) '] = st0[r2 -- i '], r2 = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 < i → 0 < j], [CSIMPSEQ : ⊦ i + (j - i0) = i + j - i0], [CSIMPSEQ : ⊦ i0 + j ≤ i ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st) [r -- j0 ' ] ) = st[r -- ((j0 - i0) + i) ']], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])]]