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Theorems · Definition · logic and foundations

ONote.fundamentalSequence

ONote → Option ONote ⊕ (ℕ → ONote)

Given an ordinal, returns: * inl none for 0 * inl (some a) for a + 1 * inr f for a limit ordinal a, where f i is a sequence converging to a

Defined in
Mathlib.SetTheory.Ordinal.Notation
Cited by
7 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ONote.fastGrowing · cited by 10ONote.fastGrowingONote.fundamentalSequence_has_prop · cited by 5ONote.fundamentalSequence…ONote.fastGrowing_def · cited by 3ONote.fastGrowing_defONote.fastGrowing_succ · cited by 3ONote.fastGrowing_succONote.fastGrowing_zero' · cited by 1ONote.fastGrowing_zero'ONote.fastGrowing_limit · cited by 1ONote.fastGrowing_limitONote.fundamentalSequence.eq_def · cited by 0fundamentalSequence.eq_defONote.fastGrowing.eq_def · cited by 0fastGrowing.eq_defONote · cited by 88ONoteONote.brecOn · cited by 12ONote.brecOnONote.fundamentalSequenceCITED BYCITES

Cites2

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Cited by8

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