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Proof step 1 from proof not-mtwo (conclusion)

⊦ 0 ≤ j ∧ 0 ≤ i → i + j ≠ ~2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i + j = ~2 ⊦ j < 0, i < 0

Rule argument

Additional information

Used simplifier rules: le-def: ⊦ i ≤ j ↔ ¬ j < i;