Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_colimitsCardinalClosure
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C) (κ : Cardinal.{w}),
P ≤ P.colimitsCardinalClosure κ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Cardinalstatement and proof · cited by 2,598
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.colimitsCardinalClosurestatement · cited by 7
- CategoryTheory.ObjectProperty.le_colimitsClosureproof · cited by 6
- CategoryTheory.SmallCategoryCardinalLT.categoryFamilyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.