Theorems · Theorem · algebraic topology
SSet.finite_of_mono
∀ {X Y : SSet} [Y.Finite] (f : X ⟶ Y) [hf : CategoryTheory.Mono f], X.Finite- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Monostatement and proof · cited by 893
- Subtype.val_injectiveproof · cited by 232
- Finite.of_injectiveproof · cited by 32
- SSet.HasDimensionLTproof · cited by 32
- CategoryTheory.injective_of_monoproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- SSet.finite_of_isoproof · cited by 1
- SSet.finite_iSup_iffproof · cited by 1
- SSet.finite_of_isPullbackproof · cited by 0