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Proof step 16 from proof cast-band (previous step)

⊦ bits2int(bitsand(int2bits(bits2int([])), false ')) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ bits ≠ [] ∧ bits0 = false ' → bitsand(bits, bits0) = false '

Rule argument

name: and-rec-02 rotate: F subst: [bits0, bits] → [false ', int2bits(bits2int([]))]

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ [];% ⊦ bits2int(false ') = 0; Used terms: false ', int2bits(bits2int([]))