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Proof step 1 from proof div2-nle-02 (conclusion)

⊦ 0 ≤ i ∧ i < j → ¬ j ≤ (i + j) / 2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 < j, i < (i + j) / 2, 0 ≤ i, i < j, j ≤ (i + j) / 2, 0 < (i + j) / 2 ⊦

Rule argument

Additional information

Used simplifier rules: forward-le: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) from specification int-abs%forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%forward-lsle: ⊦ i < j ∧ j ≤ j0 → i < j0; (forward) from specification int-abs%forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs