Theorems · Theorem · general topology
EsakiaHom.coe_comp_continuousOrderHom
∀ {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]
(g : EsakiaHom β γ) (f : EsakiaHom α β), ↑(g.comp f) = (↑g).comp ↑f- Defined in
- Mathlib.Topology.Order.Hom.Esakia
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- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
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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
- ContinuousOrderHomstatement · cited by 26
- EsakiaHomstatement and proof · cited by 23
- EsakiaHom.compstatement · cited by 9
- ContinuousOrderHom.compstatement · cited by 8
- ContinuousOrderHomClass.toContinuousOrderHomstatement · cited by 2
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