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Proof step 6 from proof Comp-get-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ getarray(r, i, 1, st) = st[r -- i '] '
Proof step 5:
∀ i. ¬ 0 < i ∧ ¬ i < 0 → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) '], ∀ j0, st, r1, i1, r2, i2. i→n(j0) < i→n(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 '] = st[r2 -- i2 ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ 1 ≤ i ↔ 0 < i], [CSIMPSEQ : ⊦ val ' = val0 ' ↔ val = val0], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ 0 < i → (i ≤ 1 ↔ i = 1)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]