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Proof step 3 from proof ps (previous step)

⊦ (m + n)-1 + 1 = m + n, m = 0

Heuristic structural induction applied rule structural induction

And closed the goal!

Rule argument

term: m

Additional information

Used simplifier rules: gen: ⊦ ;%succ: ⊦ m +1 = m + 1;%oz: ⊦ m + 1 ≠ 0;%a: ⊦ (m + n0) + n1 = m + n0 + n1;%c: ⊦ m + n = n + m;%pred: ⊦ (m + 1)-1 = m;%eq-01: ⊦ m + n = m + n0 ↔ n = n0;