Theorems · Definition · general topology
ContinuousOrderHom.toOrderHom
{α : Type u_6} →
{β : Type u_7} →
[inst : Preorder α] →
[inst_1 : Preorder β] → [inst_2 : TopologicalSpace α] → [inst_3 : TopologicalSpace β] → (α →Co β) → α →o β- Defined in
- Mathlib.Topology.Order.Hom.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement · cited by 934
- ContinuousOrderHomstatement and proof · cited by 26
Cited by18
Results whose statement or proof uses this declaration.
- EsakiaHom.compproof · cited by 9
- ContinuousOrderHom.compproof · cited by 8
- ContinuousOrderHom.copyproof · cited by 3
- EsakiaHom.mk.injstatement and proof · cited by 1
- EsakiaHom.mk.noConfusionstatement and proof · cited by 1
- ContinuousOrderHom.toContinuousMapproof · cited by 0
- ContinuousOrderHom.toFun_eq_coestatement · cited by 0
- EsakiaHom.mk.injEqstatement and proof · cited by 0
- EsakiaHom.mk.sizeOf_specstatement and proof · cited by 0
- EsakiaHom.casesOnstatement and proof · cited by 0
- EsakiaHom.exists_map_eq_of_map_le'statement · cited by 0
- ContinuousOrderHom.coe_toOrderHomstatement · cited by 0