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Theorems · Theorem · category theory

CategoryTheory.Abelian.Pseudoelement.pseudoZero_def

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

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

CategoryTheory.Abelian.Pseudoelement.apply_zero · cited by 1Pseudoelement.apply_zeroCategoryTheory.Abelian.Pseudoelement.zero_apply · cited by 1Pseudoelement.zero_applyCategoryTheory.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.setoidPseudoelement.pseudoZero_defCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.