Theorems · Definition · order theory
OmegaCompletePartialOrder.ContinuousHom.Prod.apply
{α : Type u_2} →
{β : Type u_3} → [inst : OmegaCompletePartialOrder α] → [inst_1 : OmegaCompletePartialOrder β] → (α →𝒄 β) × α →𝒄 βThe application of continuous functions as a continuous function.
- Defined in
- Mathlib.Order.OmegaCompletePartialOrder
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- OmegaCompletePartialOrderstatement and proof · cited by 104
- OmegaCompletePartialOrder.ContinuousHomstatement and proof · cited by 41
- OmegaCompletePartialOrder.ContinuousHom.ofFunproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- OmegaCompletePartialOrder.ContinuousHom.Prod.apply_applystatement and proof · cited by 1
- OmegaCompletePartialOrder.ContinuousHom.ωSup_apply_ωSupstatement · cited by 0