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Proof step 306 from proof bitsand-cast (previous step)

¬ mklist(true, n0) ≠ [], n1 + # bits0 = # fillsgn(n1 + # bits0, bits), # bits = n0 + # bits0, n0 < n1, true ∈ bits, bits0.first, # bits0 ≤ # bits, # bits < n1 + # bits0 ⊦ mklist(true, n0) + bits0 = [], bits = [], bits0 = [], mklist(true, n1) + bits0 = lastn(n1 + # bits0, mklist((mklist(true, n0) + bits0).first, n1 - n0) + mklist(true, n0) + bits0), false ∈ bits

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 307:
n1 + # bits0 = # fillsgn(n1 + # bits0, bits), # bits = # bits0, bits0.first, true ∈ bits ⊦ mklist(true, n1) + bits0 = lastn(n1 + # bits0, mklist(true, n1) + bits0), bits = [], bits0 = [], n1 = 0, false ∈ bits

Rule argument

Additional information

Used simplifier rules: ⊦ m < m + n ↔ n ≠ 0;% ⊦ m ≤ m;% ⊦ m < n ∧ n = n0 → m < n0; (forward)% ⊦ m < n → n ≠ 0;% ⊦ 0 < n ↔ n ≠ 0;% ⊦ m - 0 = m;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ [] + bits = bits;% ⊦ mklist(boolvar, 0) = [];% ⊦ 0 + m = m;% ⊦ m < n ∧ m = n0 → n0 < n; (forward)% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ mklist(boolvar, m) = [] ↔ m = 0;