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Proof step 28 from proof band-max (previous step)

¬(int2bits(j).butlast ≠ [] ∧ false ' = false '), 1 < bits2int(bitsand(false ', int2bits(j).butlast) + int2bits(j).last '), 0 < bits2int(bitsand(false ', int2bits(j).butlast) + int2bits(j).last '), ∀ i0, j. i→n(i0) < i→n(1) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ j = ~1, j = 0, int2bits(j) = (¬ 0 < j)'

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
int2bits(j).butlast = [], 1 < bits2int(bitsand(false ', []) + int2bits(j).last '), 0 < bits2int(bitsand(false ', []) + int2bits(j).last '), ∀ i0, j. i→n(i0) < i→n(1) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ j = ~1, j = 0, int2bits(j) = (¬ 0 < j)'

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)