Theorems · Theorem · category theory
CategoryTheory.SmallCategoryCardinalLT.exists_equivalence
∀ (κ : Cardinal.{w}) (C : Type u) [inst : CategoryTheory.Category.{v, u} C],
HasCardinalLT (CategoryTheory.Arrow C) κ →
∃ S, Nonempty (CategoryTheory.SmallCategoryCardinalLT.categoryFamily κ S ≌ C)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites40
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Equivproof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- Cardinalstatement and proof · cited by 2,598
- LT.lt.leproof · cited by 2,189
Cited by1
Results whose statement or proof uses this declaration.