Theorems · Theorem · order theory
OrderEmbedding.toOrderHom_coe
∀ {X : Type u_6} {Y : Type u_7} [inst : Preorder X] [inst_1 : Preorder Y] (f : X ↪o Y), ⇑f.toOrderHom = ⇑f- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 15 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.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement · cited by 934
- OrderEmbeddingstatement and proof · cited by 619
- OrderEmbedding.toOrderHomstatement and proof · cited by 16
Cited by11
Results whose statement or proof uses this declaration.
- SimplexCategory.mkOfSucc_δ_gtproof · cited by 4
- SSet.stdSimplex.face_eq_ofSimplexproof · cited by 3
- SimplexCategory.mkOfSucc_δ_eqproof · cited by 3
- SimplexCategory.mkOfSucc_δ_ltproof · cited by 3
- Finset.mem_eraseNoneproof · cited by 2
- SimplexCategory.rev_map_δproof · cited by 2
- SimplexCategory.II.map'_succAboveOrderEmbproof · cited by 1
- hahnEmbedding_isOrderedAddMonoidproof · cited by 0
- SSet.StrictSegal.spine_δ_vertex_geproof · cited by 0
- SSet.StrictSegal.spine_δ_vertex_ltproof · cited by 0
- SimplexCategory.factor_δ_specproof · cited by 0