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Proof step 8 from proof eq-leninv (previous step)

# nσ = ∞, nσ[n] = 0, ⌜n⌝ < # nσ, stutf(nσ), ∀ m. n < m ∧ ⌜m⌝ < # nσ → nσ[m] = 0 ⊦ nσ = ⌜λ n. 0⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
# nσ = ∞, nσ[n] = 0, stutf(nσ), ∀ m. n < m → nσ[m] = 0 ⊦ nσ = ⌜λ n. 0⌝

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ < ∞; (s)