Mathlib Map

Theorems · Definition · order theory

RelEmbedding.refl

{α : Type u_1} → (r : α → α → Prop) → r ↪r r

Identity map is a relation embedding.

Defined in
Mathlib.Order.RelIso.Basic
Cited by
10 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderEmbedding.id · cited by 4OrderEmbedding.idSimpleGraph.Embedding.refl · cited by 3Embedding.reflSSet.stdSimplex.not_hasDimensionLT · cited by 1stdSimplex.not_hasDimensi…Set.PartiallyWellOrderedOn.pi · cited by 1PartiallyWellOrderedOn.piWellQuasiOrdered.pi · cited by 0WellQuasiOrdered.piRelEmbedding.one_def · cited by 0RelEmbedding.one_defPartOrdEmb.hom_id · cited by 0PartOrdEmb.hom_idSemiSimplexCategory.homEquiv_id · cited by 0SemiSimplexCategory.homEq…RelEmbedding.trans_refl · cited by 0RelEmbedding.trans_reflRelEmbedding.refl_apply · cited by 0RelEmbedding.refl_applyRelEmbedding.refl_trans · cited by 0RelEmbedding.refl_transPartOrdEmb.ofHom_id · cited by 0PartOrdEmb.ofHom_idRelEmbedding · cited by 281RelEmbeddingFunction.Embedding.refl · cited by 29Embedding.reflRelEmbedding.reflCITED BYCITES

Cites2

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

Cited by12

Results whose statement or proof uses this declaration.