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Proof step 22 from proof lsleninv-1 (previous step)

# nσ = ∞, nσ[m2] + 1 < nσ[m], stutf(nσ), m0 ≤ m, nσ[m2] < nσ[m0], nσ[m0] < nσ[m], nσ[m2] < nσ[m], m2 < m0, m2 < m, ∀ m0. m2 < m0 → nσ[m0] = nσ[m2] + 1 ⊦

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 10 terms: m

Additional information

Used simplifier rules: eqle-one: ⊦ m = n + 1 ∧ n < n0 → m ≤ n0; (forward) from specification nat%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic1%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic1%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic1%ls-le-simp: ⊦ m < n → (n ≤ m ↔ false); from specification nat Used terms: m