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Proof step 7 from proof getarray-union-03 (previous step)

i < st[r -- _length] .intval, 1 < j + i, 0 < j + i, 0 < st[r -- _length] .intval, 0 < j, 0 ≤ i, r ∈ st, j + i ≤ st[r -- _length] .intval, r -- _length ∈ st, r -- i ' ∈ st .keys, i < i0, i0 < j + i, 0 < i0, i0 < st[r -- _length] .intval, 1 < st[r -- _length] .intval, ∀ i0. ¬ i0 < i ∧ ¬ i + j ≤ i0 → r -- i0 ' ∈ st, ∀ st0, i, st, r, j0. i→n(j0) < i→n(j) → ( true → ( r -- _length ∈ st ∧ 0 ≤ i ∧ j0 ≤ st[r -- _length] .intval - i ∧ (∀ i1. i ≤ i1 ∧ i1 < i + j0 → r -- i1 ' ∈ st) → getarray(r, i, j0, st0 ∪ st) = getarray(r, i, j0, st))) ⊦ getarray(r, i + 1, j - 1, st0 ∪ st) = getarray(r, i + 1, j - 1, st), r -- i0 ' ∈ st

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 16, [QUANTTERMLIST : (i0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (i0)]]