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Proof step 3 from proof band-idempotent-01 (previous step)

⊦ bits2int(bitsand(int2bits(i), int2bits(i))) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ bits ≠ [] → bitsand(bits, bits) = bits

Rule argument

name: bitsand-idempotent rotate: F subst: [bits] → [int2bits(i)]

Additional information

Used simplifier rules: ⊦ bits2int(int2bits(i)) = i;% ⊦ int2bits(j) ≠ []; Used terms: int2bits(i)