Mathlib Map

Theorems · Definition · general topology

PseudoEpimorphism.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : Preorder α] →
        [inst_1 : Preorder β] →
          [inst_2 : Preorder γ] → PseudoEpimorphism β γ → PseudoEpimorphism α β → PseudoEpimorphism α γ

Composition of PseudoEpimorphisms as a PseudoEpimorphism.

Defined in
Mathlib.Topology.Order.Hom.Esakia
Cited by
9 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
PreorderPreorderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PseudoEpimorphism.comp_apply · cited by 1PseudoEpimorphism.comp_ap…PseudoEpimorphism.cancel_right · cited by 0PseudoEpimorphism.cancel_…EsakiaHom.coe_comp_pseudoEpimorphism · cited by 0EsakiaHom.coe_comp_pseudo…PseudoEpimorphism.coe_comp · cited by 0PseudoEpimorphism.coe_compPseudoEpimorphism.coe_comp_orderHom · cited by 0PseudoEpimorphism.coe_com…PseudoEpimorphism.comp_assoc · cited by 0PseudoEpimorphism.comp_as…PseudoEpimorphism.comp_id · cited by 0PseudoEpimorphism.comp_idPseudoEpimorphism.id_comp · cited by 0PseudoEpimorphism.id_compPseudoEpimorphism.cancel_left · cited by 0PseudoEpimorphism.cancel_…Preorder · cited by 7952PreorderOrderHom.comp · cited by 61OrderHom.compOrderHom.toFun · cited by 45OrderHom.toFunPseudoEpimorphism · cited by 23PseudoEpimorphismPseudoEpimorphism.toOrderHom · cited by 3PseudoEpimorphism.toOrder…PseudoEpimorphism.compCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.