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Theorems · Theorem · category theory

BddDistLat.ofHom_apply

∀ {X Y : Type u} [inst : DistribLattice X] [inst_1 : BoundedOrder X] [inst_2 : DistribLattice Y]
  [inst_3 : BoundedOrder Y] (f : BoundedLatticeHom X Y) (x : X),
  (CategoryTheory.ConcreteCategory.hom (BddDistLat.ofHom f)) x = f x
Defined in
Mathlib.Order.Category.BddDistLat
Cited by
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Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DistribLatticeBoundedOrderDistribLatticeBoundedOrder
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DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homBoundedOrder · cited by 270BoundedOrderBoundedLatticeHom · cited by 185BoundedLatticeHomDistribLattice · cited by 150DistribLatticeDistLat.carrier · cited by 83DistLat.carrierBddDistLat.toDistLat · cited by 57BddDistLat.toDistLatBddDistLat · cited by 39BddDistLatBddDistLat.of · cited by 10BddDistLat.ofBddDistLat.ofHom · cited by 9BddDistLat.ofHomBddDistLat.ofHom_applyCITED BYCITES

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