Theorems · Theorem · order theory
preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd_inv_app_hom_coe
∀ (X : Preord) (a : ↑((Preord.dual.comp preordToPartOrd).obj X)),
(PartOrd.Hom.hom (preordToPartOrdCompToDualIsoToDualCompPreordToPartOrd.inv.app X)) a =
(OrderIso.dualAntisymmetrization ↑X).symm a- Defined in
- Mathlib.Order.Category.PartOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- OrderHomstatement · cited by 934
- OrderIsostatement · cited by 874
- OrderIso.symmstatement · cited by 475
- PartOrd.carrierstatement and proof · cited by 93
- PartOrdstatement · cited by 65
- Preordstatement and proof · cited by 42
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