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Proof step 34 from proof copy-comp (previous step)

i2 + i5 * (i1 - i2) + j1 = i4 * (i1 - i2) + i, st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), (i4 + 1) * (i1 - i2) < 0, j0 + (i4 + 1) * (i1 - i2) < i1, (i4 + 1) * (i1 - i2) < i4 * (i1 - i2) + i, i4 + 1 < i5, j0 + (i4 + 1) * (i1 - i2) < (i1 - i2) * (i5 - i4 + 1), i + i1 ≤ 2 * i2 + i5 * (i1 - i2) + j1 + j0, 1 < i0, 0 < i1, i1 < i0, r2 -- i ' ∈ st0, i2 < i0, i < i0, r2 ∈ st0, ty0 ≤ ty, r2 -- _type ∈ st0, 0 ≤ i2, i2 + i5 * (i1 - i2) + j1 + j0 < i0, r2 -- _length ∈ st0, 0 ≤ i0, i2 ≤ i, 0 ≤ i, i ≤ i2 + i5 * (i1 - i2) + j1 + j0, i1 ≤ i2 + i5 * (i1 - i2) + j1 + j0, 0 < i0, 0 ≤ i4, j0 + i2 < i0, j1 + i2 < i1, i2 < i1, 0 ≤ j1, j1 + i2 < i0, 0 ≤ i5, 0 ≤ j0, j0 + i2 < i1, 0 < i2 + i5 * (i1 - i2) + j1 + j0, 0 ≤ i5 * (i1 - i2) + j1 + j0, 0 ≤ i2 + i5 * (i1 - i2) + j1 + j0, 0 ≤ i5 * (i1 - i2) + j1, 0 ≤ i5 * (i1 - i2) + j0, 0 < i5 * (i1 - i2) + j1 + j0, 0 < i5 * (i1 - i2) + j0, 0 < i5 * (i1 - i2) + j1, 1 < (i1 - i2) * (i5 - i4 + 1), 0 < (i1 - i2) * (i5 - i4 + 1), j0 + (i4 + 1) * (i1 - i2) < 0, (i4 + 1) * (i1 - i2) < i1, 2 * (i4 + 1) < i5, ∀ j2. ¬ j2 < 0 ∧ ¬ i5 * (i1 - i2) + j1 + j0 < j2 → st0[r2 -- (i1 + j2) '] = st0[r2 -- (i2 + j2) '], ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st0[r2 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r2 -- j ' ∈ st0 ⊦ r2 = jvmref, st0[r2 -- (i1 + j1) '] = st0[r2 -- ((i1 - i2) * (i5 - i4 + 1) + i1 + j1) ']

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,0 ≤ i → (i * j < 0 ↔ ¬ ¬ (j < 0 ∧ i ≠ 0)) ,[j, i] → [i1 - i2, i4 + 1] ,F ,int-mult , ,zero-ls-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ((* j)) = i0 + ((* j0)) ↔ j - j0 = i0], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ ((* j)) ≤ i0 + ((* j0)) ↔ j - j0 ≤ i0], [CSIMPSEQ : i0 ≠ 0, i0 ≤ i ⊦ ((* i)) ≤ j → ((* i0)) ≤ j], [CSIMPSEQ : ⊦ i - j < i0 ↔ i < j + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i * j = j * i])], [EXTRATERMS : (i1 - i2, i4 + 1)]]