Theorems · Theorem · category theory
CategoryTheory.isArtinianObject_of_mono
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (i : X ⟶ Y) [CategoryTheory.Mono i]
[CategoryTheory.IsArtinianObject Y], CategoryTheory.IsArtinianObject X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- OrderHomproof · cited by 934
- OrderDualproof · cited by 927
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.Subobjectproof · cited by 385
- CategoryTheory.Subobject.mapproof · cited by 19
- CategoryTheory.IsArtinianObjectstatement and proof · cited by 9
- OrderHom.monotone'proof · cited by 8
- CategoryTheory.Functor.monotoneproof · cited by 6
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