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Proof step 13 from proof band-011x-neg (previous step)

bitsand(false ' + mklist(true, i→n(i)), sgn(bitsinvert(uint2bits(~ j)) +1)) = [], j < i, 0 ≤ i, j < 0 ⊦ (j + 1) % 2 ^ i + 2 ^ i = 1 + bits2int([])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: and-notempty rotate: F subst: [bits0, bits] → [sgn(bitsinvert(uint2bits(~ j)) +1), false ' + mklist(true, i→n(i))]

Additional information

Used simplifier rules: ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];% ⊦ boolvar ' ≠ [];% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ sgn(bits) = [] ↔ bits = [];% ⊦ ¬ bits +1 ≠ [] ↔ false; Used terms: sgn(bitsinvert(uint2bits(~ j)) +1), false ' + mklist(true, i→n(i))