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Proof step 36 from proof stutf-maxinf-is-fin (previous step)

# nσ = ∞, ⌜n0⌝ < # nσ, stutf(nσ), ∀ n1. ¬ n1 < n2 → nσ[n1] = nσ[n0] ⊦ ∃ n1. n < n1 ∧ ⌜n1⌝ < # nσ ∧ nσ[n1] = nσ[n0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
# nσ = ∞, stutf(nσ), ∀ n1. ¬ n1 < n2 → nσ[n1] = nσ[n0] ⊦ ∃ n1. n < n1 ∧ nσ[n1] = nσ[n0]

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ < ∞; (s)