Mathlib Map

Theorems · Definition · order theory

OmegaCompletePartialOrder.ContinuousHom.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : OmegaCompletePartialOrder α] →
        [inst_1 : OmegaCompletePartialOrder β] → [inst_2 : OmegaCompletePartialOrder γ] → (β →𝒄 γ) → (α →𝒄 β) → α →𝒄 γ

The composition of continuous functions.

Defined in
Mathlib.Order.OmegaCompletePartialOrder
Cited by
4 results in Mathlib
Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OmegaCompletePartialOrderOmegaCompletePartialOrderOmegaCompletePartialOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OmegaCompletePartialOrder.ContinuousHom.comp_apply · cited by 0ContinuousHom.comp_applyOmegaCompletePartialOrder.ContinuousHom.comp_assoc · cited by 0ContinuousHom.comp_assocOmegaCompletePartialOrder.ContinuousHom.comp_id · cited by 0ContinuousHom.comp_idOmegaCompletePartialOrder.ContinuousHom.id_comp · cited by 0ContinuousHom.id_compOmegaCompletePartialOrder · cited by 104OmegaCompletePartialOrderOrderHom.comp · cited by 61OrderHom.compOmegaCompletePartialOrder.ContinuousHom · cited by 41OmegaCompletePartialOrder…OmegaCompletePartialOrder.ContinuousHom.toOrderHom · cited by 4ContinuousHom.toOrderHomContinuousHom.compCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.