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Proof step 8 from proof bor-notAndNot (previous step)

bitsand(sgn(bitsinvert(int2bits(j))), sgn(bitsinvert(int2bits(i)))) = [] ⊦ bits2int(bitsinvert(bitsand(bitsinvert(int2bits(i)), bitsinvert(int2bits(j))))) = bits2int(bitsinvert(int2bits(bits2int([]))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0) ≠ []

Rule argument

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

Additional information

Used simplifier rules: ⊦ sgn(bits) = [] ↔ bits = [];% ⊦ bitsinvert(bits) = [] ↔ bits = [];% ⊦ int2bits(j) ≠ []; Used terms: sgn(bitsinvert(int2bits(i))), sgn(bitsinvert(int2bits(j)))