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Proof step 10 from proof pot2-le-pred (previous step)

2 ^ i < 1 / 2 ^ abs(i - 1), i ≤ 0 ⊦ 1 < 2 ^ abs(i - 1)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: two-leone: ⊦ 2 ^ i ≤ 1 ↔ i < 1;%2pot-leone: ⊦ 2 ^ i < 1 ↔ i < 0;% ⊦ i = j → i - j = 0; (s)% ⊦ i - j = i0 ↔ i = i0 + j; (s)% ⊦ abs(i) ≤ 0 ↔ i = 0; (s)% ⊦ i < 1 ↔ i ≤ 0; (s)% ⊦ i < j ↔ ¬ j ≤ i; (ss)