Theorems · Theorem · category theory
CategoryTheory.HomRel.CompClosure.of
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {r : HomRel C} {a b : C} {m₁ m₂ : a ⟶ b},
r m₁ m₂ → CategoryTheory.HomRel.CompClosure r m₁ m₂- Defined in
- Mathlib.CategoryTheory.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Category.id_compproof · cited by 1,998
- HomRelstatement and proof · cited by 49
- CategoryTheory.HomRel.CompClosurestatement and proof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.HomRel.compClosure_iff_selfproof · cited by 0