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Theorems · Theorem · order theory

NonemptyFinLinOrd.dual_map

∀ {X Y : NonemptyFinLinOrd} (f : X ⟶ Y),
  NonemptyFinLinOrd.dual.map f = NonemptyFinLinOrd.ofHom (OrderHom.dual (LinOrd.Hom.hom f.hom))
Defined in
Mathlib.Order.Category.NonemptyFinLinOrd
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Foundations
Depth 30 from the axioms · uses propext, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.map · cited by 8698Functor.mapEquiv · cited by 8337EquivOrderHom · cited by 934OrderHomOrderDual · cited by 927OrderDualCategoryTheory.InducedCategory.Hom.hom · cited by 850Hom.homLinOrd.carrier · cited by 48LinOrd.carrierOrderHom.dual · cited by 48OrderHom.dualLinOrd · cited by 46LinOrdNonemptyFinLinOrd · cited by 27NonemptyFinLinOrdNonemptyFinLinOrd.toLinOrd · cited by 19NonemptyFinLinOrd.toLinOrdLinOrd.Hom.hom · cited by 18Hom.homNonemptyFinLinOrd.of · cited by 12NonemptyFinLinOrd.ofNonemptyFinLinOrd.ofHom · cited by 11NonemptyFinLinOrd.ofHomNonemptyFinLinOrd.dual_mapCITED BYCITES

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