Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.underObj_iff
∀ {T : Type u_3} [inst : CategoryTheory.Category.{v_3, u_3} T] {W : CategoryTheory.MorphismProperty T} {X : T}
(Y : CategoryTheory.Under X), W.underObj Y ↔ W Y.hom- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 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
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Understatement and proof · cited by 276
- CategoryTheory.Under.rightstatement · cited by 128
- CategoryTheory.Under.homstatement · cited by 73
- CategoryTheory.MorphismProperty.underObjstatement · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.HasFiniteProducts.isClosedUnderLimitsOfShapeproof · cited by 0
- RingHom.HasEqualizers.isClosedUnderLimitsOfShapeproof · cited by 0