Theorems · Theorem · order theory
OmegaCompletePartialOrder.ContinuousHom.map_apply
∀ {α : Type u_2} [inst : OmegaCompletePartialOrder α] {β γ : Type v} (f : β → γ) (g : α →𝒄 Part β) (x : α),
(OmegaCompletePartialOrder.ContinuousHom.map f g) x = Part.map f (g x)- Defined in
- Mathlib.Order.OmegaCompletePartialOrder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- OmegaCompletePartialOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Partstatement and proof · cited by 325
- OmegaCompletePartialOrderstatement and proof · cited by 104
- Part.mapstatement · cited by 65
- OmegaCompletePartialOrder.ContinuousHomstatement and proof · cited by 41
- OmegaCompletePartialOrder.ContinuousHom.mapstatement and proof · cited by 1
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