Theorems · Theorem · order theory
NonemptyFinLinOrd.epi_iff_surjective
∀ {A B : NonemptyFinLinOrd} (f : A ⟶ B),
CategoryTheory.Epi f ↔ Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)- Defined in
- Mathlib.Order.Category.NonemptyFinLinOrd
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categoryproof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- LE.le.transproof · cited by 3,151
- FunLikeproof · cited by 2,560
- le_reflproof · cited by 2,061
- le_of_ltproof · cited by 1,175
- OrderHomstatement and proof · cited by 934
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.Epistatement and proof · cited by 688
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