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Proof step 1 from proof ls-pos-02 (conclusion)

⊦ i ≤ i0 ∧ 0 ≤ i ∧ 0 ≤ j → ¬ i0 ^ j < i ^ j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i0 ^ j < i ^ j, i ≤ i0, 0 ≤ i0, 0 ≤ i, 0 ≤ j ⊦

Rule argument

Additional information

Used simplifier rules: forward-lele: ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs