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Theorems · Theorem · order theory

Lat.ext

∀ {X Y : Lat} {f g : X ⟶ Y},
  (∀ (x : ↑X), (CategoryTheory.ConcreteCategory.hom f) x = (CategoryTheory.ConcreteCategory.hom g) x) → f = g
Defined in
Mathlib.Order.Category.Lat
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses Quot.sound
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Around this declaration

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Lat.ext_iff · cited by 0Lat.ext_iffDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homLatticeHom · cited by 192LatticeHomLat.carrier · cited by 58Lat.carrierCategoryTheory.ConcreteCategory.hom_ext · cited by 48ConcreteCategory.hom_extLat · cited by 43LatLat.extCITED BYCITES

Cites7

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Cited by1

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