Theorems · Definition · order theory
OrderEmbedding.toOrderHom
{X : Type u_6} → {Y : Type u_7} → [inst : Preorder X] → [inst_1 : Preorder Y] → X ↪o Y → X →o YConvert an OrderEmbedding to an OrderHom.
- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement · cited by 934
- OrderEmbeddingstatement and proof · cited by 619
- OrderEmbedding.monotoneproof · cited by 26
Cited by26
Results whose statement or proof uses this declaration.
- SimplexCategory.δproof · cited by 146
- Finset.eraseNoneproof · cited by 21
- OrderEmbedding.toOrderHom_coestatement and proof · cited by 11
- Module.End.maxUnifEigenspaceIndexproof · cited by 8
- Module.End.genEigenspace_top_eq_maxUnifEigenspaceIndexproof · cited by 5
- SimplexCategory.eqToHom_toOrderHomstatement · cited by 5
- SimplexCategory.mkOfSucc_δ_gtproof · cited by 4
- SemiSimplexCategory.toSimplexCategoryproof · cited by 4
- SimplexCategory.mkOfSucc_δ_eqproof · cited by 3
- AugmentedSimplexCategory.eqToHom_toOrderHomstatement · cited by 3
- SSet.stdSimplex.face_eq_ofSimplexstatement and proof · cited by 3
- SSet.stdSimplex.isoNerveproof · cited by 3