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Proof step 27 from proof cast-law-and-one (previous step)

bitsand(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))), int2bits(j0)) = [], 0 < i ⊦ i = 0, bitsand(sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0)) = [], bits2int(lastn(i→n(i), fillsgn(i→n(i), bitsand(int2bits(j), int2bits(j0))))) = bits2int(mklist(false, i→n(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0) ≠ []

Rule argument

name: and-notempty rotate: F subst: [bits0, bits] → [int2bits(j0), lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))]

Additional information

Used simplifier rules: ⊦ lastn(n, bits) = [] ↔ n = 0;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ int2bits(j) ≠ []; Used terms: int2bits(j0), lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))