Theorems · Theorem · category theory
PartOrdEmb.ofHom_id
∀ {X : Type u} [inst : PartialOrder X],
PartOrdEmb.ofHom (RelEmbedding.refl fun x1 x2 => x1 ≤ x2) =
CategoryTheory.CategoryStruct.id { carrier := X, str := inst }- Defined in
- Mathlib.Order.Category.PartOrdEmb
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- PartialOrderstatement and proof · cited by 6,410
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- PartOrdEmbstatement · cited by 68
- PartOrdEmb.ofHomstatement · cited by 13
- RelEmbedding.reflstatement · cited by 10
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