Theorems · Theorem · category theory
BddOrd.ofHom_apply
∀ {X Y : Type u} [inst : PartialOrder X] [inst_1 : BoundedOrder X] [inst_2 : PartialOrder Y] [inst_3 : BoundedOrder Y]
(f : BoundedOrderHom X Y) (x : X), (CategoryTheory.ConcreteCategory.hom (BddOrd.ofHom f)) x = f x- Defined in
- Mathlib.Order.Category.BddOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- BoundedOrderstatement and proof · cited by 270
- PartOrd.carrierstatement · cited by 93
- BoundedOrderHomstatement and proof · cited by 54
- BddOrdstatement · cited by 34
- BddOrd.toPartOrdstatement · cited by 29
- BddOrd.ofstatement · cited by 9
- BddOrd.ofHomstatement · cited by 8
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