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Theorems · Theorem · category theory

CategoryTheory.Abelian.Pseudoelement.zero_eq_zero

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {P Q : C},
  ⟦CategoryTheory.Over.mk 0⟧ = 0
Defined in
Mathlib.CategoryTheory.Abelian.Pseudoelements
Cited by
4 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Abelian
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Abelian.Pseudoelement.apply_eq_zero_of_comp_eq_zero · cited by 1Pseudoelement.apply_eq_ze…CategoryTheory.Abelian.Pseudoelement.apply_zero · cited by 1Pseudoelement.apply_zeroCategoryTheory.Abelian.Pseudoelement.zero_apply · cited by 1Pseudoelement.zero_applyCategoryTheory.Abelian.Pseudoelement.sub_of_eq_image · cited by 0Pseudoelement.sub_of_eq_i…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianCategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.Over.mk · cited by 203Over.mkCategoryTheory.Abelian.Pseudoelement · cited by 21Abelian.PseudoelementCategoryTheory.Abelian.Pseudoelement.setoid · cited by 16Pseudoelement.setoidCategoryTheory.Abelian.Pseudoelement.zero_eq_zero' · cited by 1Pseudoelement.zero_eq_zer…Pseudoelement.zero_eq_zeroCITED BYCITES

Cites8

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Cited by4

Results whose statement or proof uses this declaration.