φ-α-β-suc {α = lim _} {β = lim _} = refl
φ-α-β-lim : φ α β (lim h) ≡ jump λ δ → lim λ n → φ α β (h n) δ
φ-α-β-lim {α = zero} {β = zero} = refl
φ-α-β-lim {α = zero} {β = suc _} = refl
φ-α-β-lim {α = zero} {β = lim _} = refl
φ-α-β-lim {α = suc _} {β = zero} = refl
φ-α-β-lim {α = suc _} {β = suc _} = refl
φ-α-β-lim {α = suc _} {β = lim _} = refl
φ-α-β-lim {α = lim _} {β = zero} = refl
φ-α-β-lim {α = lim _} {β = suc _} = refl
φ-α-β-lim {α = lim _} {β = lim _} = refl
例 一个很大的大数:
ₒₒₘ₂:=fφΓ₀,₀,₀ (0) (99)
oom₂ = FGH.f (QuaternaryVeblen.φ (BinaryVeblen.Γ 0) 0 0 0) 99
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