Theorems · Theorem · category theory
CategoryTheory.Sieve.equalizer_eq_equalizerSieve
∀ {C : Type uC} [inst : CategoryTheory.Category.{vC, uC} C] {U V : C} (f₁ f₂ : U ⟶ V),
CategoryTheory.Sieve.equalizer f₁ f₂ = CategoryTheory.Presheaf.equalizerSieve f₁ f₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.Sievestatement · cited by 552
- CategoryTheory.yonedastatement · cited by 351
- CategoryTheory.Presheaf.equalizerSievestatement · cited by 15
- CategoryTheory.Sieve.equalizerstatement · cited by 10
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