Theorems · Theorem · general topology

EsakiaHom.coe_comp_pseudoEpimorphism

∀ {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),
  { toOrderHom := ↑(g.comp f), exists_map_eq_of_map_le' := ⋯ } =
    { toOrderHom := ↑g, exists_map_eq_of_map_le' := ⋯ }.comp { toOrderHom := ↑f, exists_map_eq_of_map_le' := ⋯ }

Defined in

Mathlib.Topology.Order.Hom.Esakia

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses no axioms

Assumes

TopologicalSpacePreorderTopologicalSpacePreorderTopologicalSpacePreorder