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Proof step 8 from proof arrayComp-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
0 ≤ j, ∀ i. ¬ i < 0 ∧ ¬ j ≤ i → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) '] ⊦ (∀ i. ¬ i < 0 ∧ ¬ j < i → st[r1 -- (i1 + i) '] = st[r2 -- (i2 + i) ']) ↔ st[r1 -- (i1 + j) '] = st[r2 -- (i2 + j) ']

Rule argument

[emptyarg]

Additional information

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