Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.universally_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.MorphismProperty C), P.universally ≤ P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 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.
Cites9
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.MorphismProperty.universallystatement and proof · cited by 30
- CategoryTheory.IsPullback.of_vert_isIsoproof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.universally_eq_iffproof · cited by 3
- AlgebraicGeometry.self_of_isIntegral_of_geometricallyproof · cited by 0