Theorems · Theorem · category theory
CategoryTheory.Limits.pointwiseBinaryBicone_fst_app
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
[inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] {D : Type u_2} [inst_3 : CategoryTheory.Category.{v_2, u_2} D]
(F G : CategoryTheory.Functor D C) (X : D),
(CategoryTheory.Limits.pointwiseBinaryBicone F G).fst.app X = CategoryTheory.Limits.biprod.fst- Cited by
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- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.biprodstatement · cited by 312
- CategoryTheory.Limits.HasBinaryBiproductsstatement and proof · cited by 165
- CategoryTheory.Limits.biprod.fststatement · cited by 121
- CategoryTheory.Limits.BinaryBicone.fststatement and proof · cited by 48
- CategoryTheory.Limits.biprod.mapstatement · cited by 27
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