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Proof step 300 from proof bitsand-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 301:
n1 + # bits0 = # fillsgn(n1 + # bits0, bits), # bits = n0 + # bits0, n0 < n1, true ∈ bits, bits0.first, # bits0 ≤ # bits, # bits < n1 + # bits0 ⊦ bits = [], bits0 = [], mklist(true, n1) + bits0 = lastn(n1 + # bits0, fillsgn(n1 + # bits0, mklist(true, n0) + bits0)), false ∈ bits

Rule argument

Additional information

Used simplifier rules: ⊦ m + n < m + n0 ↔ n < n0;% ⊦ m < n → n ≠ 0;% ⊦ m < n → n ≠ 0; (forward)% ⊦ m < n ∧ n = n0 → m < n0; (forward)% ⊦ m < n ∧ m = n0 → n0 < n; (forward)% ⊦ m ≤ n ∧ n < n0 → m < n0; (forward)% ⊦ m < m + n ↔ n ≠ 0;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m < n → m ≤ n;