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Proof step 13 from proof stutf-maxinf-is-fin (previous step)

# nσ = ∞, m0 ≤ n, nσ[m0] ≤ nσ[n], stutf(nσ), ∀ n1. ∃ n0. n1 < n0 ∧ nσ[n0] = nσ[m0] ⊦ ∀ n0. ¬ n0 < m0 → nσ[n0] = nσ[m0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
# nσ = ∞, m0 ≤ n, nσ[m0] ≤ nσ[n], stutf(nσ), m0 ≤ n0, ∀ n1. ∃ n0. n1 < n0 ∧ nσ[n0] = nσ[m0] ⊦ nσ[n0] = nσ[m0]

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat