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Proof step 16 from proof get-alleq (previous step)

getarray(r, i, i1, st) = getarray(r0, i0, i1, st0), 0 < i1, ∀ j. ¬ j < 0 ∧ ¬ i1 ≤ j → st[r -- (i + j) '] = st0[r0 -- (i0 + j) '], ∀ j. ¬ i1 < j ∧ ¬ j < 0 → 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 + i1) '] = st0[r0 -- (i0 + i1) ']

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [QUANTTERMLIST : (i1)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < i], [CSIMPSEQ : ⊦ i < j → ¬ j < i])], [EXTRATERMS : (i1)]]