Theorems · Definition · general topology
EsakiaHom.comp
{α : Type u_2} →
{β : Type u_3} →
{γ : Type u_4} →
[inst : TopologicalSpace α] →
[inst_1 : Preorder α] →
[inst_2 : TopologicalSpace β] →
[inst_3 : Preorder β] →
[inst_4 : TopologicalSpace γ] → [inst_5 : Preorder γ] → EsakiaHom β γ → EsakiaHom α β → EsakiaHom α γComposition of EsakiaHoms as an EsakiaHom.
- Defined in
- Mathlib.Topology.Order.Hom.Esakia
- Cited by
- 9 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.
Cites7
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
- OrderHom.toFunproof · cited by 45
- EsakiaHomstatement and proof · cited by 23
- ContinuousOrderHom.toOrderHomproof · cited by 8
- ContinuousOrderHom.compproof · cited by 8
- EsakiaHom.toContinuousOrderHomproof · cited by 3
Cited by9
Results whose statement or proof uses this declaration.
- EsakiaHom.comp_applystatement · cited by 1
- EsakiaHom.coe_comp_continuousOrderHomstatement · cited by 0
- EsakiaHom.coe_comp_pseudoEpimorphismstatement · cited by 0
- EsakiaHom.comp_assocstatement · cited by 0
- EsakiaHom.comp_idstatement · cited by 0
- EsakiaHom.id_compstatement · cited by 0
- EsakiaHom.cancel_leftstatement and proof · cited by 0
- EsakiaHom.cancel_rightstatement and proof · cited by 0
- EsakiaHom.coe_compstatement · cited by 0