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Proof step 2 from proof bitsand-app-zeros-01 (previous step)

⊦ bits1 = [], sgn(bitsand(bits + false ' + bits0, bits1)) = sgn(bitsand(false ' + bits0, bits1)), true ∈ bits

User applied rule induction

And obtained the following new goals

Proof step 3:
true, ∀ bits0, bits, bits2. # bits2 < # bits1 → true → bits2 = [] ∨ sgn(bitsand(bits + false ' + bits0, bits2)) = sgn(bitsand(false ' + bits0, bits2)) ∨ true ∈ bits ⊦ bits1 = [] ∨ sgn(bitsand(bits + false ' + bits0, bits1)) = sgn(bitsand(false ' + bits0, bits1)) ∨ true ∈ bits

Rule argument

indvar: # bits1 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bits1