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Proof step 31 from proof bitsand-app-zeros-01 (previous step)

¬(true ∈ bitsand(false ' + bits3, bits4) ∧ false ∈ bitsand(false ' + bits3, bits4)), ∀ bits0, bits, bits2. # bits2 < #(bits4 + boolvar0 ') → true → bits2 = [] ∨ sgn(bitsand(bits + false ' + bits0, bits2)) = sgn(bitsand(false ' + bits0, bits2)) ∨ true ∈ bits ⊦ bits4 = [], sgn(bitsand(bits + false ' + bits3, bits4) + (boolvar ∧ boolvar0)') = sgn(bitsand(false ' + bits3, bits4) + (boolvar ∧ boolvar0)'), true ∈ bits

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
∀ bits0, bits, bits2. # bits2 < #(bits4 + boolvar0 ') → true → bits2 = [] ∨ sgn(bitsand(bits + false ' + bits0, bits2)) = sgn(bitsand(false ' + bits0, bits2)) ∨ true ∈ bits ⊦ sgn(bitsand(bits + false ' + bits3, bits4) + (boolvar ∧ boolvar0)') = sgn(bitsand(false ' + bits3, bits4) + (boolvar ∧ boolvar0)'), bits4 = [], true ∈ bits, true ∈ bitsand(false ' + bits3, bits4) ∧ false ∈ bitsand(false ' + bits3, bits4)

Proof step 31 from proof bitsand-app-zeros-01 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information