Theorems · Theorem · order theory
NonemptyFinLinOrd.hom_ext
∀ {X Y : NonemptyFinLinOrd} {f g : X ⟶ Y}, LinOrd.Hom.hom f.hom = LinOrd.Hom.hom g.hom → f = g- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- OrderHomstatement · cited by 934
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.ConcreteCategory.extproof · cited by 107
- LinOrd.carrierstatement · cited by 48
- LinOrdstatement · cited by 46
- NonemptyFinLinOrdstatement and proof · cited by 27
- NonemptyFinLinOrd.toLinOrdstatement · cited by 19
- LinOrd.Hom.homstatement and proof · cited by 18
- CategoryTheory.InducedCategory.hom_extproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- NonemptyFinLinOrd.mono_iff_injectiveproof · cited by 0
- NonemptyFinLinOrd.hom_ext_iffproof · cited by 0
- NonemptyFinLinOrd.epi_iff_surjectiveproof · cited by 0