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Proof step 3 from proof fill-rec (previous step)

n = m + 1 ∧ n ≠ 0, # bits < n ⊦ fillsgn(n, bits) = bits.first ' + fillsgn(m, bits), bits = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
# bits ≤ m ⊦ fillsgn(m + 1, bits) = bits.first ' + fillsgn(m, bits), bits = []

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ m < n ↔ n ≤ m;% ⊦ m < n + 1 ↔ ¬ n < m;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + 1 ≠ 0;