Theorems · Definition · category theory
CategoryTheory.Abelian.Pseudoelement
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Abelian C] → C → Type (max u v)A Pseudoelement of P is just an equivalence class of arrows ending in P by being
pseudo-equal.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Abelian.Pseudoelement.setoidproof · cited by 16
Cited by26
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Pseudoelement.pseudoApplystatement · cited by 18
- CategoryTheory.Abelian.Pseudoelement.zero_eq_zerostatement · cited by 4
- CategoryTheory.Abelian.Pseudoelement.pseudoZero_iffstatement · cited by 3
- CategoryTheory.Abelian.Pseudoelement.pseudoApply_mk'statement · cited by 2
- CategoryTheory.Abelian.Pseudoelement.pseudoZero_defstatement · cited by 2
- CategoryTheory.Abelian.Pseudoelement.zero_morphism_extstatement and proof · cited by 2
- CategoryTheory.Abelian.Pseudoelement.apply_eq_zero_of_comp_eq_zerostatement · cited by 1
- CategoryTheory.Abelian.Pseudoelement.apply_zerostatement and proof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.comp_applystatement and proof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.zero_applystatement and proof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.comp_compstatement and proof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.epi_of_pseudo_surjectivestatement and proof · cited by 0