Theorems · Definition · category theory
CategoryTheory.Abelian.Pseudoelement.setoid
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Abelian C] → (P : C) → Setoid (CategoryTheory.Over P)The arrows with codomain P equipped with the equivalence relation of being pseudo-equal.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Abelian.PseudoEqualproof · cited by 12
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Pseudoelementproof · cited by 21
- CategoryTheory.Abelian.Pseudoelement.zero_eq_zerostatement · cited by 4
- CategoryTheory.Abelian.Pseudoelement.pseudoApply_mk'statement · cited by 2
- CategoryTheory.Abelian.Pseudoelement.pseudoZero_auxstatement · cited by 2
- CategoryTheory.Abelian.Pseudoelement.pseudoZero_defstatement · cited by 2
- CategoryTheory.Abelian.Pseudoelement.apply_eq_zero_of_comp_eq_zeroproof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.apply_zeroproof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.zero_applyproof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.zero_eq_zero'statement · cited by 1
- CategoryTheory.Abelian.Pseudoelement.epi_of_pseudo_surjectiveproof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.exact_of_pseudo_exactproof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.over_coe_defstatement · cited by 0