Mathlib Map

Theorems · Definition · logic and foundations

NONote.repr

NONote → Ordinal.{0}

The ordinal represented by an ordinal notation. This function is noncomputable because ordinal arithmetic is noncomputable. In computational applications NONote can be used exclusively without reference to Ordinal, but this function allows for correctness results to be stated.

Defined in
Mathlib.SetTheory.Ordinal.Notation
Cited by
5 results in Mathlib
Foundations
Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

NONote.repr_mul · cited by 0NONote.repr_mulNONote.repr_opow · cited by 0NONote.repr_opowNONote.repr_sub · cited by 0NONote.repr_subNONote.lt_wf · cited by 0NONote.lt_wfNONote.below · cited by 0NONote.belowNONote.repr_add · cited by 0NONote.repr_addOrdinal · cited by 1688OrdinalONote.repr · cited by 45ONote.reprNONote · cited by 6NONoteNONote.reprCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.