Theorems · Definition · category theory
CategoryTheory.Quotient.mk.noConfusion
{C : Type u_1} →
{inst : CategoryTheory.Category.{v_1, u_1} C} →
{r : HomRel C} → {P : Sort u} → {as as' : C} → { as := as } = { as := as' } → (as ≍ as' → P) → P- Defined in
- Mathlib.CategoryTheory.Quotient
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
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
- HomRelstatement and proof · cited by 49
- CategoryTheory.Quotientstatement · cited by 48
- CategoryTheory.Quotient.noConfusionproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Quotient.mk.injproof · cited by 1
- SimplexCategoryGenRel.exists_P_σ_P_δ_factorizationproof · cited by 0
- CategoryTheory.FreeGroupoid.of_obj_bijectiveproof · cited by 0