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Proof step 4 from proof bitsand-app-true (previous step)

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

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: # bits2 wfpred: <

Additional information

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