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Proof step 56 from proof copy-comp (previous step)

i2 + i3 = (i4 * (i1 - i2) + j0) + i + 1, st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), 0 ≤ j0, j0 + i2 < i1, i + i1 < 2 * i2 + i3, 1 < i0, 0 < i1, i1 < i0, r2 -- i ' ∈ st0, 0 < i3, i2 < i0, 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, i1 < i2 + i3, i2 < i1, 0 < i0, 1 < i2 + i3, 0 < i2 + i3, 0 ≤ i4, j0 + i2 < i0, j0 < i3, ∀ 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 + (i3 - j0 - 1) % (i1 - i2)) '] = st0[r2 -- (i1 + (i3 - j0 - 1) % (i1 - i2) + ((i3 - j0 - 1) / (i1 - i2) - i4 - 1) * (i1 - i2)) '], r2 = jvmref

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 31:
i2 < i1, i + i4 * (i1 - i2) < i3, 0 ≤ i2, 0 ≤ i4, 0 ≤ j0, j0 ≤ i4, 0 ≤ i, ∀ j. 0 ≤ j ∧ j < i3 → st[r -- (i1 + j) '] = st[r -- (i2 + j) '] ⊦ st[r -- (i1 + i + j0 * (i1 - i2)) '] = st[r -- (i1 + i) ']
Proof step 55:
i2 + i3 = (i4 * (i1 - i2) + j0) + i + 1, st0[r2 -- _length] = intval(i0), st0[r2 -- _type] = typeval(mkarraytype(ty0)), 0 ≤ j0, j0 + i2 < i1, i + i1 < 2 * i2 + i3, 1 < i0, 0 < i1, i1 < i0, r2 -- i ' ∈ st0, 0 < i3, i2 < i0, 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, i1 < i2 + i3, i2 < i1, 0 < i0, 1 < i2 + i3, 0 < i2 + i3, 0 ≤ i4, j0 + i2 < i0, j0 < i3, ∀ 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 ⊦ (i3 - j0 - 1) % (i1 - i2) + ((i3 - j0 - 1) / (i1 - i2) - i4 - 1) * (i1 - i2) < i3 ∧ 0 ≤ (i3 - j0 - 1) / (i1 - i2) - i4 - 1 ∧ 0 ≤ (i3 - j0 - 1) / (i1 - i2) - i4 - 1 ∧ (i3 - j0 - 1) / (i1 - i2) - i4 - 1 ≤ (i3 - j0 - 1) / (i1 - i2) - i4 - 1 ∧ 0 ≤ (i3 - j0 - 1) % (i1 - i2) ∧ (∀ j. 0 ≤ j ∧ j < i3 → st0[r2 -- (i1 + j) '] = st0[r2 -- (i2 + j) ']), st0[r2 -- (i1 + (i3 - j0 - 1) % (i1 - i2)) '] = st0[r2 -- (i1 + (i3 - j0 - 1) % (i1 - i2) + ((i3 - j0 - 1) / (i1 - i2) - i4 - 1) * (i1 - i2)) '], r2 = jvmref

Rule argument

[speclemmaarg: i2 < i1, i + i4 * (i1 - i2) < i3, 0 ≤ i2, 0 ≤ i4, 0 ≤ j0, j0 ≤ i4, 0 ≤ i, ∀ j. 0 ≤ j ∧ j < i3 → st[r -- (i1 + j) '] = st[r -- (i2 + j) '] ,st[r -- (i1 + i + j0 * (i1 - i2)) '] = st[r -- (i1 + i) '] ,[i2, i1, i, i4, i3, j0, st, r] → [i2, i1, (i3 - j0 - 1) % (i1 - i2), (i3 - j0 - 1) / (i1 - i2) - i4 - 1, i3, (i3 - j0 - 1) / (i1 - i2) - i4 - 1, st0, r2] ,F ,storearrays , ,comp-same ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i2, i1, (i3 - j0 - 1) % (i1 - i2), (i3 - j0 - 1) / (i1 - i2) - i4 - 1, i3, (i3 - j0 - 1) / (i1 - i2) - i4 - 1, st0, r2)]]