Theorems · Theorem · category theory
HomotopicalAlgebra.PrepathObject.symm_p_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : C} (P : HomotopicalAlgebra.PrepathObject A)
[inst_1 : CategoryTheory.Limits.HasBinaryProducts C] {Z : C} (h : A ⨯ A ⟶ Z),
CategoryTheory.CategoryStruct.comp P.symm.p h =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.CategoryStruct.comp P.p (CategoryTheory.Limits.prod.braiding A A).hom) h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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 · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.pairstatement · cited by 536
- CategoryTheory.Limits.prodstatement · cited by 364
- CategoryTheory.Limits.HasBinaryProductsstatement and proof · cited by 79
- HomotopicalAlgebra.PrepathObject.Pstatement · cited by 76
- HomotopicalAlgebra.PrepathObjectstatement and proof · cited by 56
- HomotopicalAlgebra.PrepathObject.pstatement · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.