Theorems · Theorem · logic and foundations
ONote.fundamentalSequenceProp_inr
∀ (o : ONote) (f : ℕ → ONote),
o.FundamentalSequenceProp (Sum.inr f) ↔
Order.IsSuccLimit o.repr ∧
(∀ (i : ℕ), f i < f (i + 1) ∧ f i < o ∧ (o.NF → (f i).NF)) ∧ ∀ a < o.repr, ∃ i, a < (f i).repr- Defined in
- Mathlib.SetTheory.Ordinal.Notation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- Order.IsSuccLimitstatement · cited by 255
- ONotestatement and proof · cited by 88
- ONote.reprstatement · cited by 45
- ONote.NFstatement · cited by 36
- ONote.FundamentalSequencePropstatement · cited by 9
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