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Theorems · Definition · order theory

OmegaCompletePartialOrder.ContinuousHom.toOrderHom

{α : Type u_2} →
  {β : Type u_3} → [inst : OmegaCompletePartialOrder α] → [inst_1 : OmegaCompletePartialOrder β] → (α →𝒄 β) → α →o β
Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
4 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
OmegaCompletePartialOrderOmegaCompletePartialOrder
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Around this declaration

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

OmegaCompletePartialOrder.ContinuousHom.comp · cited by 4ContinuousHom.compOmegaCompletePartialOrder.ContinuousHom.monotone · cited by 3ContinuousHom.monotoneOmegaCompletePartialOrder.ContinuousHom.copy · cited by 1ContinuousHom.copyOmegaCompletePartialOrder.ContinuousHom.bind · cited by 1ContinuousHom.bindOmegaCompletePartialOrder.ContinuousHom.map_ωSup' · cited by 1ContinuousHom.map_ωSup'OmegaCompletePartialOrder.ContinuousHom.coe_toOrderHom · cited by 0ContinuousHom.coe_toOrder…OmegaCompletePartialOrder.ContinuousHom.toOrderHom_eq_coe · cited by 0ContinuousHom.toOrderHom_…OrderHom · cited by 934OrderHomOmegaCompletePartialOrder · cited by 104OmegaCompletePartialOrderOmegaCompletePartialOrder.ContinuousHom · cited by 41OmegaCompletePartialOrder…ContinuousHom.toOrderHomCITED BYCITES

Cites3

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

Cited by7

Results whose statement or proof uses this declaration.