Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.universally_eq_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.MorphismProperty C},
P.universally = P ↔ P.IsStableUnderBaseChange- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 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.
Cites10
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.MorphismPropertystatement and proof · cited by 2,179
- LE.le.antisymmproof · cited by 507
- CategoryTheory.IsPullbackproof · cited by 320
- CategoryTheory.MorphismProperty.IsStableUnderBaseChangestatement and proof · cited by 131
- CategoryTheory.IsPullback.flipproof · cited by 61
- CategoryTheory.MorphismProperty.universallystatement and proof · cited by 30
- CategoryTheory.MorphismProperty.IsStableUnderBaseChange.of_isPullbackproof · cited by 3
- CategoryTheory.MorphismProperty.universally_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.universallyInjective_eq_diagonalproof · cited by 2
- AlgebraicGeometry.universallyClosed_eq_universallySpecializingproof · cited by 1
- CategoryTheory.MorphismProperty.IsStableUnderBaseChange.universally_eqproof · cited by 1