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Proof step 4 from proof and-size-one-01 (previous step)

# bits2 = # bits1 ⊦ bits1 = [], bits0 = [], bitsand(true ' + bits2, bits0 + bits1) = bits0 + bitsand(bits2, bits1)

User applied rule induction

And obtained the following new goals

Proof step 5:
# bits2 = # bits1, ∀ bits, bits1, bits0. # bits < # bits2 → # bits = # bits1 → bits1 = [] ∨ bits0 = [] ∨ bitsand(true ' + bits, bits0 + bits1) = bits0 + bitsand(bits, bits1) ⊦ bits1 = [] ∨ bits0 = [] ∨ bitsand(true ' + bits2, bits0 + bits1) = bits0 + bitsand(bits2, bits1)

Rule argument

indvar: # bits2 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bits2