Theorems · Definition · order theory
NonemptyFinLinOrd.ofHom
{X Y : Type u} →
[inst : Nonempty X] →
[inst_1 : LinearOrder X] →
[inst_2 : Fintype X] →
[inst_3 : Nonempty Y] →
[inst_4 : LinearOrder Y] → [inst_5 : Fintype Y] → (X →o Y) → (NonemptyFinLinOrd.of X ⟶ NonemptyFinLinOrd.of Y)Typecheck a OrderHom as a morphism in NonemptyFinLinOrd.
- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- OrderHomstatement and proof · cited by 934
- NonemptyFinLinOrdstatement · cited by 27
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- NonemptyFinLinOrd.ofstatement · cited by 12
Cited by14
Results whose statement or proof uses this declaration.
- SimplexCategory.skeletalFunctorproof · cited by 7
- SimplexCategory.mono_iff_injectiveproof · cited by 6
- SimplexCategory.epi_iff_surjectiveproof · cited by 5
- NonemptyFinLinOrd.dualproof · cited by 4
- NonemptyFinLinOrd.Iso.mkproof · cited by 2
- NonemptyFinLinOrd.dual_mapstatement · cited by 0
- NonemptyFinLinOrd.epi_iff_surjectiveproof · cited by 0
- NonemptyFinLinOrd.Iso.mk_homstatement · cited by 0
- NonemptyFinLinOrd.Iso.mk_invstatement · cited by 0
- NonemptyFinLinOrd.hom_hom_ofHomstatement · cited by 0
- SimplexCategory.skeletalFunctor_mapstatement · cited by 0
- NonemptyFinLinOrd.mono_iff_injectiveproof · cited by 0