Theorems · Theorem · category theory
CategoryTheory.section_comp_right
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A B : C} (f g : A ⟶ B)
[inst_1 : CategoryTheory.IsReflexivePair f g],
CategoryTheory.CategoryStruct.comp (CategoryTheory.commonSection f g) g = CategoryTheory.CategoryStruct.id B- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.IsReflexivePairstatement and proof · cited by 19
- CategoryTheory.commonSectionstatement · cited by 7
- CategoryTheory.IsReflexivePair.common_sectionproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.IsReflexivePair.swapproof · cited by 0
- CategoryTheory.Limits.hasReflexiveCoequalizers_iffproof · cited by 0
- CategoryTheory.section_comp_right_assocproof · cited by 0