Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.hasPullback
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {P : CategoryTheory.MorphismProperty C} [self : P.HasPullbacks]
{X Y S : C} {f : X ⟶ S} (g : Y ⟶ S), P f → CategoryTheory.Limits.HasPullback f gAlias of CategoryTheory.MorphismProperty.HasPullbacks.hasPullback.
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- Depth 19 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.Limits.HasPullbackstatement · cited by 434
- CategoryTheory.MorphismProperty.HasPullbacksstatement · cited by 4
- CategoryTheory.MorphismProperty.HasPullbacks.hasPullbackproof · cited by 1
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