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Proof step 1 from proof notle-pos (conclusion)

⊦ 0 ≤ i ∧ ¬ i0 ≤ j → ¬ i + i0 ≤ j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < i0 ⊦ j < i + i0, i < 0

Rule argument

Additional information

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