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Proof step 60 from proof bor-2pot-plus-01 (previous step)

bitsand(bitsinvert(int2bits(j0)), mklist(true, i→n(i))) = [], # int2bits(j0) ≤ i→n(i), j < 0, j + 1 < i, 0 ≤ j0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i, (¬ mklist(false, i→n(i)).first) ∈ bitsinvert(uint2bits(~ j)) +1, j < 2 ^ i, j0 < 2 ^ i, 0 < i ⊦ i = 0, bitsinvert(int2bits(j)) + mklist(true, i→n(i)) = [], j = j * 2 ^ i + j0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: and-notempty rotate: F subst: [bits0, bits] → [mklist(true, i→n(i)), bitsinvert(int2bits(j0))]

Additional information

Used simplifier rules: ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ bitsinvert(bits) = [] ↔ bits = [];% ⊦ int2bits(j) ≠ [];% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ i→n(i) = 0 ↔ i = 0; Used terms: mklist(true, i→n(i)), bitsinvert(int2bits(j0))