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Proof step 8 from proof and-first (previous step)

bitsand(boolvar ' + bits1, boolvar0 ' + bits) = boolvar1 ' + bits0 ⊦ boolvar1 ↔ boolvar ∧ boolvar0

User applied rule induction

And obtained the following new goals

Proof step 9:
bitsand(boolvar ' + bits1, boolvar0 ' + bits) = boolvar1 ' + bits0, ∀ bits2, boolvar, bits1, boolvar0, boolvar1, bits0. # bits2 < # bits → bitsand(boolvar ' + bits1, boolvar0 ' + bits2) = boolvar1 ' + bits0 → (boolvar1 ↔ boolvar ∧ boolvar0) ⊦ boolvar1 ↔ boolvar ∧ boolvar0

Rule argument

indvar: # bits wfpred: <

Additional information

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