Mathlib Map

Theorems · Definition · order theory

OrderEmbedding.withTopMap

{α : Type u_1} → {β : Type u_2} → [inst : Preorder α] → [inst_1 : Preorder β] → α ↪o β → WithTop α ↪o WithTop β

A version of WithTop.map for order embeddings.

Defined in
Mathlib.Order.Hom.WithTopBot
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
PreorderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ENat.toENNRealOrderEmbedding · cited by 6ENat.toENNRealOrderEmbedd…OrderIso.withTopCongr · cited by 6OrderIso.withTopCongrOrderEmbedding.withTopMap_apply · cited by 0OrderEmbedding.withTopMap…DFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderWithTop · cited by 3754WithTopOrderEmbedding · cited by 619OrderEmbeddingWithTop.map · cited by 68WithTop.mapRelEmbedding.toEmbedding · cited by 45RelEmbedding.toEmbeddingOrderEmbedding.withTopMapCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.