Mathlib Map

Theorems · Definition · order theory

ofAntisymmetrization

{α : Type u_1} → (r : α → α → Prop) → [inst : IsPreorder α r] → Antisymmetrization α r → α

Get a representative from the antisymmetrization.

Defined in
Mathlib.Order.Antisymmetrization
Cited by
4 results in Mathlib
Foundations
Depth 10 from the axioms · uses Classical.choice
Assumes
IsPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderEmbedding.ofAntisymmetrization · cited by 1OrderEmbedding.ofAntisymm…toAntisymmetrization_ofAntisymmetrization · cited by 0toAntisymmetrization_ofAn…ofAntisymmetrization_le_ofAntisymmetrization_iff · cited by 0ofAntisymmetrization_le_o…OrderEmbedding.ofAntisymmetrization_apply · cited by 0OrderEmbedding.ofAntisymm…ofAntisymmetrization_lt_ofAntisymmetrization_iff · cited by 0ofAntisymmetrization_lt_o…Quotient.out · cited by 141Quotient.outAntisymmetrization · cited by 25AntisymmetrizationIsPreorder · cited by 20IsPreorderofAntisymmetrizationCITED BYCITES

Cites3

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

Cited by5

Results whose statement or proof uses this declaration.