Theorems · Definition · general topology
ContinuousOrderHom.id
(α : Type u_2) → [inst : TopologicalSpace α] → [inst_1 : Preorder α] → α →Co α
id as a ContinuousOrderHom.
- Defined in
- Mathlib.Topology.Order.Hom.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- TopologicalSpacePreorder
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- continuous_idproof · cited by 192
- OrderHom.idproof · cited by 37
- ContinuousOrderHomstatement · cited by 26
Cited by6
Results whose statement or proof uses this declaration.
- EsakiaHom.idproof · cited by 6
- ContinuousOrderHom.comp_idstatement · cited by 0
- EsakiaHom.coe_id_continuousOrderHomstatement · cited by 0
- ContinuousOrderHom.id_applystatement · cited by 0
- ContinuousOrderHom.id_compstatement · cited by 0
- ContinuousOrderHom.coe_idstatement · cited by 0