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Proof step 83 from proof cast-mod-neg-high (previous step)

~1 = j % 2 ^ i, j + 2 ^ i < i, j + 2 ^ i ≤ 0, j < 0, j < 2 ^ (i - 1), 2 ^ (i - 1) + j < 0, j + 2 ^ i < 2 ^ (i - 1), j + 1 < 2 ^ (i - 1), j < ~1, 0 < i ⊦ j = ~1, i = 1, bits2int(mklist(true, i→n(i))) = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 84:
⊦ ¬ false ∈ bits ∧ bits ≠ [] → bits2int(bits) = ~1

Rule argument

seq: ⊦ ¬ false ∈ bits ∧ bits ≠ [] → bits2int(bits) = ~1 subst: [bits] → [mklist(true, i→n(i))] rotate: F spec: int2bits inst: name: bits2int-ones

Additional information

Used simplifier rules: ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ¬ false ∈ mklist(true, n);% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ i % 1 = 0; Used terms: mklist(true, i→n(i))