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Proof step 1 from proof and-oner (conclusion)

⊦ bitsand(boolvar ' + bits, true ') = boolvar ' + bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ bits ≠ [] → bitsand(bits, true ') = bits

Rule argument

name: and-oner-01 rotate: F subst: [bits] → [boolvar ' + bits]

Additional information

Used simplifier rules: ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ boolvar ' ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: boolvar ' + bits