Theorems · Theorem · category theory
HomotopicalAlgebra.PathObject.symm_p
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : C}
[inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C] (P : HomotopicalAlgebra.PathObject A)
[inst_2 : CategoryTheory.Limits.HasBinaryProducts C],
P.symm.p = CategoryTheory.CategoryStruct.comp P.p (CategoryTheory.Limits.prod.braiding A A).hom- Cited by
- 1 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.
Cites17
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.CategoryWithWeakEquivalencesstatement and proof · cited by 77
- HomotopicalAlgebra.PrepathObject.Pstatement · cited by 76
- HomotopicalAlgebra.PathObjectstatement and proof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.PathObject.symm_p_assocproof · cited by 0