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Proof step 1 from proof int-simp-06 (conclusion)

⊦ i < i1 ∧ i2 ≤ i3 → (i1 + i3 < i + i2 ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i1 + i3 < i + i2, i < i1 ⊦ i3 < i2

Rule argument

Additional information

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