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Proof step 15 from proof bor-2pot-plus-01 (previous step)

i = 0, j < 2 ^ i, j0 < 2 ^ i, 0 ≤ i, 0 ≤ j0, 0 < 2 ^ i, j < i, j < j0, j + 1 < 2 ^ i, j < 0 ⊦ bits2int(bitsinvert(bitsand(bitsinvert(sgn(bitsinvert(uint2bits(~ j)) +1 + mklist(false, i→n(i)))), bitsinvert(int2bits(j0))))) = j * 2 ^ i + j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i + 0 = i;% ⊦ bitsinvert(false ') = true ';% ⊦ int2bits(0) = false ';% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ i < j ∧ j = i0 → i < i0; (forward)% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ 0 ≤ i → (i < 1 ↔ i = 0);% ⊦ i < 1 ↔ i ≤ 0;% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 1 * i = i;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits + [] = bits;% ⊦ mklist(boolvar, 0) = [];