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Proof step 13 from proof rg-restr1 (previous step)

Gr(n0 + 1)(s, s0), m ≤ n0, ∀ n. n ≠ n0 + 1 → Ry(n)(s, s0) ⊦ Ry(m)(s, s0)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%eq: ⊦ m = n + 1 → ¬ m ≤ n; from specification nat Used terms: m