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Proof step 28 from proof bib-neg-high (previous step)

0 ≤ 7 ∧ 2 * i0 - 1 ≠ 0, i0 < 0 ⊦ b2i(i2b(bits2int(lastn(8, int2bits(2 * i0 - 1) + mklist(false, i→n(7)))))) = ~128, i0 * 256 ≠ ~128 ∧ lastn(8, int2bits(2 * i0 - 1) + mklist(false, i→n(7))).first

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
i0 < 0 ⊦ b2i(i2b(bits2int(((((((int2bits(2 * i0 - 1).last ' + false ') + false ') + false ') + false ') + false ') + false ') + false '))) = ~128, i0 * 256 ≠ ~128 ∧ int2bits(2 * i0 - 1).last

Rule argument

Additional information

Used simplifier rules: c-08: ⊦ (boolvar ' + bits).first ↔ boolvar; from specification list[bitlista]%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%neq-two: ⊦ 2 * i ≠ 1; from specification int-mult%add-c: ⊦ i + j = j + i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%sub-eq: ⊦ i - j = i0 ↔ i = i0 + j; from specification int-abs%lastn-one: ⊦ lastn(1, bits) = bits.last '; from specification list-del[bitlista]%num-lastN: 0 < n ⊦ lastn((* n), bits + boolvar ') = lastn(n -1, bits) + boolvar '; from specification list-del[bitlista]%a: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; from specification list[bitlista]%app: ⊦ bits + [] = bits; from specification list[bitlista]%mk-zero: ⊦ mklist(boolvar, 0) = []; from specification list-last[bitlista]%mklist-num: n ≠ 0 ⊦ mklist(false, (* n)) = false ' + mklist(false, n -1); from specification bitlista