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Proof step 18 from proof uint2bits-2pot-02 (previous step)

i = i1 + 1, 1 < i, 0 ≤ 2 ^ i, 0 < 2 ^ i, 1 < 2 ^ i, 0 < i, 0 ≤ i, ∀ i0. i→n(i0) < i→n(i) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ i = 1, uint2bits(2 ^ i1 - 1) + true ' = false ' + mklist(true, i→n(i))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
0 < i1, 1 < 2 ^ (i1 + 1), ~1 ≤ i1, 0 < 2 ^ (i1 + 1), 0 ≤ 2 ^ (i1 + 1), ∀ i0. i→n(i0) < i→n(i1 + 1) → 0 < i0 → uint2bits(2 ^ i0 - 1) = false ' + mklist(true, i→n(i0)) ⊦ 0 = i1, uint2bits(2 ^ i1 - 1) + true ' = false ' + true ' + mklist(true, i→n(i1))

Rule argument

Additional information

Used simplifier rules: ⊦ (* i) < j ∧ 0 < i → 0 ≤ j ∧ 0 < j; (forward)% ⊦ (* j) ≤ i0 + (* j0) ↔ j - j0 ≤ i0;% ⊦ 0 < i ∧ 0 < j → 0 < i + j;% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ mklist(boolvar, n) + boolvar ' = boolvar ' + mklist(boolvar, n);% ⊦ mklist(boolvar, 1) = boolvar ';% ⊦ mklist(boolvar, m + n) = mklist(boolvar, m) + mklist(boolvar, n);% ⊦ 0 < i + 1 → i→n(i + 1) = i→n(i) + 1;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ (* j) = i0 + (* j0) ↔ j - j0 = i0;