Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Limits.biprod.inr_fst

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {X Y : C} [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y],
  CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.biprod.inr CategoryTheory.Limits.biprod.fst = 0
Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
Cited by
4 results in Mathlib
Foundations
Depth 8 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.biprod.inr_fst_assoc · cited by 1biprod.inr_fst_assocHomologicalComplex.biprod_inr_fst_f · cited by 1HomologicalComplex.biprod…CategoryTheory.Biprod.ofComponents_comp · cited by 0Biprod.ofComponents_compCategoryTheory.Biprod.ofComponents_eq · cited by 0Biprod.ofComponents_eqCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.biprod · cited by 312Limits.biprodCategoryTheory.Limits.HasBinaryBiproduct · cited by 251Limits.HasBinaryBiproductCategoryTheory.Limits.biprod.fst · cited by 121biprod.fstCategoryTheory.Limits.biprod.inr · cited by 109biprod.inrCategoryTheory.Limits.BinaryBiproduct.bicone · cited by 68BinaryBiproduct.biconeCategoryTheory.Limits.BinaryBicone.inr_fst · cited by 34BinaryBicone.inr_fstbiprod.inr_fstCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.