Theorems · Theorem · category theory
CategoryTheory.Functor.mapBinaryBicone_inr
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D]
(F : CategoryTheory.Functor C D) [inst_4 : F.PreservesZeroMorphisms] {X Y : C}
(b : CategoryTheory.Limits.BinaryBicone X Y), (F.mapBinaryBicone b).inr = F.map b.inr- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Functor.PreservesZeroMorphismsstatement and proof · cited by 458
- CategoryTheory.Limits.BinaryBiconestatement and proof · cited by 111
- CategoryTheory.Limits.BinaryBicone.ptstatement · cited by 95
- CategoryTheory.Limits.BinaryBicone.inrstatement and proof · cited by 47
- CategoryTheory.Functor.mapBinaryBiconestatement and proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- HomologicalComplex.homotopyCofiber.inrX_mapHomologicalComplexObjXIso_invproof · cited by 1
- HomologicalComplex.homotopyCofiber.inlX_mapHomologicalComplexObjXIso_invproof · cited by 1