Theorems · Definition · order theory
OmegaCompletePartialOrder.ContinuousHom.map
{α : Type u_2} → [inst : OmegaCompletePartialOrder α] → {β γ : Type v} → (β → γ) → (α →𝒄 Part β) → α →𝒄 Part γPart.map as a continuous function.
- Defined in
- Mathlib.Order.OmegaCompletePartialOrder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- OmegaCompletePartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Partstatement and proof · cited by 325
- OmegaCompletePartialOrderstatement and proof · cited by 104
- OmegaCompletePartialOrder.ContinuousHomstatement and proof · cited by 41
- OmegaCompletePartialOrder.ContinuousHom.constproof · cited by 1
- OmegaCompletePartialOrder.ContinuousHom.copyproof · cited by 1
- OmegaCompletePartialOrder.ContinuousHom.bindproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- OmegaCompletePartialOrder.ContinuousHom.seqproof · cited by 1
- OmegaCompletePartialOrder.ContinuousHom.map_applystatement and proof · cited by 0