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Proof step 2 from proof and-ones (previous step)

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

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: # bits wfpred: <

Additional information

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