Theorems · Definition · category theory
CategoryTheory.Abelian.Pseudoelement.pseudoApply
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Abelian C] →
{P Q : C} → (P ⟶ Q) → CategoryTheory.Abelian.Pseudoelement P → CategoryTheory.Abelian.Pseudoelement QA morphism f induces a function pseudoApply f on pseudoelements.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Overproof · cited by 935
- CategoryTheory.Abelian.Pseudoelementstatement · cited by 21
- Quotient.mapproof · cited by 7
- CategoryTheory.Abelian.appproof · cited by 7
- CategoryTheory.Abelian.Pseudoelement.pseudoApply_auxproof · cited by 0
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Pseudoelement.pseudoApply_mk'statement · 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 · cited by 1
- CategoryTheory.Abelian.Pseudoelement.zero_applystatement and proof · cited by 1
- CategoryTheory.Abelian.Pseudoelement.comp_compstatement · cited by 0
- CategoryTheory.Abelian.Pseudoelement.epi_of_pseudo_surjectivestatement and proof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.eq_zero_iffstatement and proof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.exact_of_pseudo_exactstatement and proof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.homToFunproof · cited by 0
- CategoryTheory.Abelian.Pseudoelement.mono_of_zero_of_map_zerostatement and proof · cited by 0