Mathlib Map

Theorems · Inductive type · logic and foundations

WellOrder

Type (u + 1)

Bundled structure registering a well order on a type. Ordinals will be defined as a quotient of this type.

Defined in
Mathlib.SetTheory.Ordinal.Basic
Cited by
12 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Ordinal.lift · cited by 86Ordinal.liftWellOrder.r · cited by 8WellOrder.rOrdinal.inductionOn · cited by 8Ordinal.inductionOnOrdinal.lift_add · cited by 6Ordinal.lift_addWellOrder.α · cited by 5WellOrder.αOrdinal.inductionOn₂ · cited by 4Ordinal.inductionOn₂Ordinal.card_mul · cited by 3Ordinal.card_mulWellOrder.mk.inj · cited by 1mk.injWellOrder.mk.noConfusion · cited by 1mk.noConfusionOrdinal.liftOnWellOrder · cited by 1Ordinal.liftOnWellOrderOrdinal.liftOnWellOrder_type · cited by 1Ordinal.liftOnWellOrder_t…Ordinal.lt_wf · cited by 1Ordinal.lt_wfWellOrder.mk.injEq · cited by 0mk.injEqWellOrder.mk.sizeOf_spec · cited by 0mk.sizeOf_specOrdinal.lift_mul · cited by 0Ordinal.lift_mulWellOrderCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by22

Results whose statement or proof uses this declaration.