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Theorems · Definition · order theory

OmegaCompletePartialOrder.ContinuousHom.const

{α : Type u_2} →
  {β : Type u_3} → [inst : OmegaCompletePartialOrder α] → [inst_1 : OmegaCompletePartialOrder β] → β → α →𝒄 β

Function.const is a continuous function.

Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OmegaCompletePartialOrderOmegaCompletePartialOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OmegaCompletePartialOrder.ContinuousHom.map · cited by 1ContinuousHom.mapOmegaCompletePartialOrder.ContinuousHom.const_apply · cited by 0ContinuousHom.const_applyDFunLike.coe · cited by 62936DFunLike.coeOmegaCompletePartialOrder · cited by 104OmegaCompletePartialOrderOmegaCompletePartialOrder.ContinuousHom · cited by 41OmegaCompletePartialOrder…OrderHom.const · cited by 8OrderHom.constContinuousHom.constCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.