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Proof step 26 from proof copy-comp (previous step)

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

User applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: , 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ i0) ,[i, j, i0, j0] → [i3 - j0 + 1, i1 - i2, i5, j1] ,T ,int-div , ,div-elim-pospos ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i - j = i0 ↔ i = i0 + j], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < j - i0 ↔ i + i0 < j], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j - i0 ↔ i + i0 ≤ j], [CSIMPSEQ : ⊦ i + 1 ≤ j ↔ i < j], [CSIMPELIM : ⊦ 0 < j ∧ 0 ≤ i → ( i0 = i / j ∧ j0 = i % j ↔ i = i0 * j + j0 ∧ 0 ≤ j0 ∧ j0 < j ∧ 0 ≤ i0)])], [EXTRATERMS : (i3 - j0 + 1, i1 - i2, i5, j1)]]