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Proof step 12 from proof get-alleq (previous step)

getarray(r, i, i1, st) = getarray(r0, i0, i1, st0), st[r -- (i + i1) '] = st0[r0 -- (i0 + i1) '], j ≤ i1, 0 < i1, 0 ≤ j, 0 ≤ i1, ∀ j. ¬ j < 0 ∧ ¬ i1 ≤ j → st[r -- (i + j) '] = st0[r0 -- (i0 + j) '], ∀ j0, r, i, st, r0, i0, st0. i→n(j0) < i→n(i1 + 1) → (true → (getarray(r, i, j0, st) = getarray(r0, i0, j0, st0) ↔ (∀ j1. 0 ≤ j1 ∧ j1 < j0 → st[r -- (i + j1) '] = st0[r0 -- (i0 + j1) ']))) ⊦ st[r -- (i + j) '] = st0[r0 -- (i0 + j) ']

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 7, [QUANTTERMLIST : (j)]]

Additional information

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