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

⊦ bits = [], bits0 = [], bitsand(bits, bits0) = bitsand(bits0, bits)

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: # bits0 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bits0