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Proof step 3 from proof bitsand-app-zeros (previous step)

true, ∀ bits0, bits, bits2. # bits2 < # bits1 → true → sgn(bitsand(bits + false ' + bits0, false ' + bits2)) = sgn(bitsand(false ' + bits0, false ' + bits2)) ∨ true ∈ bits ⊦ sgn(bitsand(bits + false ' + bits0, false ' + bits1)) = sgn(bitsand(false ' + bits0, false ' + bits1)) ∨ true ∈ bits

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
∀ bits0, bits, bits2. # bits2 < # bits1 → true → sgn(bitsand(bits + false ' + bits0, false ' + bits2)) = sgn(bitsand(false ' + bits0, false ' + bits2)) ∨ true ∈ bits ⊦ sgn(bitsand(bits + false ' + bits0, false ' + bits1)) = sgn(bitsand(false ' + bits0, false ' + bits1)), true ∈ bits

Proof step 3 from proof bitsand-app-zeros (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information