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Proof step 2 from proof psh-08 (previous step)

⊦ n -1 < m ↔ m = n, n = 0, n < m

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: psh: ⊦ m -1 < m ↔ m ≠ 0;%neq-01: ⊦ m ≠ n → (m < n ↔ ¬ n < m);%f: ⊦ m < n → n ≠ 0;%trans-01: ⊦ n < n0 ∧ n0 < n1 → n +1 < n1;%trans: ⊦ n < n0 ∧ n0 < n1 → n < n1;%psu-03: ⊦ n < m → m -1 +1 = m;%ref: ⊦ ¬ n < n;