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Proof step 8 from proof uint2bits-2pot-02 (previous step)

¬(2 ^ i % 2 = 0 ∧ 0 < 2 ^ i), 0 < i, 1 < 2 ^ i, 0 < 2 ^ i, 0 ≤ 2 ^ i, ∀ i0. i→n(i0) < i→n(i) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ uint2bits((2 ^ i - 1) / 2) + ((2 ^ i - 1) % 2 = 1)' = false ' + mklist(true, i→n(i)), i = 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
0 < i, 1 < 2 ^ i, 0 < 2 ^ i, 0 ≤ 2 ^ i, ∀ i0. i→n(i0) < i→n(i) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ uint2bits((2 ^ i - 1) / 2) + ((2 ^ i - 1) % 2 = 1)' = false ' + mklist(true, i→n(i)), i = 1, 2 ^ i % 2 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ i < j → ¬ j < i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ 0 < i → (0 < i ^ j ↔ i = 1 ∨ 0 ≤ j);