Mathlib Map

Theorems · Definition · order theory

OmegaCompletePartialOrder.ContinuousHom.flip

{β : Type u_3} →
  {γ : Type u_4} →
    [inst : OmegaCompletePartialOrder β] →
      [inst_1 : OmegaCompletePartialOrder γ] → {α : Type u_6} → (α → β →𝒄 γ) → β →𝒄 α → γ

A family of continuous functions yields a continuous family of functions.

Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
1 results in Mathlib
Foundations
Depth 35 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.seq · cited by 1ContinuousHom.seqOmegaCompletePartialOrder.ContinuousHom.flip_apply · cited by 0ContinuousHom.flip_applyDFunLike.coe · cited by 62936DFunLike.coeOmegaCompletePartialOrder · cited by 104OmegaCompletePartialOrderOmegaCompletePartialOrder.ContinuousHom · cited by 41OmegaCompletePartialOrder…OmegaCompletePartialOrder.ContinuousHom.ofFun · cited by 1ContinuousHom.ofFunContinuousHom.flipCITED 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.