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Proof step 2 from proof band-commutativity (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0) = bitsand(bits0, bits)

Rule argument

name: and-com rotate: F subst: [bits0, bits] → [int2bits(j), int2bits(i)]

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ []; Used terms: int2bits(j), int2bits(i)