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Proof step 14 from proof Comp-get-01 (previous step)

getarray(r1, i1, i0, st) = getarray(r2, i2, i0, st), 0 < i0, ∀ i. ¬ i0 < i ∧ ¬ i < 0 → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) '], ∀ j0, st, r1, i1, r2, i2. i→n(j0) < i→n(i0 + 1) → ((∀ i. ¬ i < 0 ∧ ¬ j0 ≤ i → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) ']) → getarray(r1, i1, j0, st) = getarray(r2, i2, j0, st)) ⊦ getarray(r1, i1, i0, st) + st[r1 -- (i1 + i0) '] ' = getarray(r2, i2, i0, st) + st[r2 -- (i2 + i0) '] '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
getarray(r1, i1, i0, st) = getarray(r2, i2, i0, st), 0 < i0, ∀ i. ¬ i0 < i ∧ ¬ i < 0 → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) '], ∀ j0, st, r1, i1, r2, i2. i→n(j0) < i→n(i0 + 1) → ((∀ i. ¬ i < 0 ∧ ¬ j0 ≤ i → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) ']) → getarray(r1, i1, j0, st) = getarray(r2, i2, j0, st)) ⊦ st[r1 -- (i1 + i0) '] = st[r2 -- (i2 + i0) ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ vals + val ' = vals0 + val0 ' ↔ vals = vals0 ∧ val = val0])]]