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Proof step 1 from proof pot2-pos-05 (conclusion)

⊦ i < 0 → 2 * i < 2 ^ j + 1

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: pot2-pos-02: ⊦ i < 0 → 2 * i ≤ 2 ^ j;%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%succ-02: ⊦ i < j + 1 ↔ i ≤ j; from specification int-abs