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Proof step 3 from proof leninv-inf-strong (previous step)

stutf(nσ) ⊦ stutf(nσ) → (¬ ¬(# nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0])) ↔ # nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0]) ∧ (∀ m. ∃ m0. m < nσ[m0]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information