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Proof step 35 from proof stutf-maxinf-is-fin (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
# nσ = ∞, stutf(nσ), ∀ n1. ¬ n1 < n2 → nσ[n1] = nσ[n] ⊦ ∃ n1. n0 < n1 ∧ nσ[n1] = nσ[n]

Rule argument

Additional information

Used simplifier rules: less-inf2: ⊦ ⌜m⌝ < ∞; from specification nat-inf