Theorems · Definition · category theory
CategoryTheory.Limits.coprod.braiding
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasBinaryCoproducts C] → (P Q : C) → P ⨿ Q ≅ Q ⨿ PThe braiding isomorphism which swaps a binary coproduct.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.pairstatement · cited by 536
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.coprod.inlproof · cited by 137
- CategoryTheory.Limits.coprod.inrproof · cited by 132
- CategoryTheory.Limits.HasBinaryCoproductsstatement and proof · cited by 98
- CategoryTheory.Limits.coprod.descproof · cited by 69
Cited by10
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.Precylinder.symm_istatement · cited by 2
- CategoryTheory.Limits.coprod.braiding_homstatement and proof · cited by 2
- CategoryTheory.Limits.coprod.symmetry'proof · cited by 2
- AlgebraicGeometry.isPullback_inr_inr_coprodMapproof · cited by 1
- HomotopicalAlgebra.Cylinder.symm_istatement · cited by 1
- HomotopicalAlgebra.Precylinder.symm_i_assocstatement · cited by 0
- CategoryTheory.Limits.coprod.braiding_invstatement and proof · cited by 0
- CategoryTheory.Limits.coprod.symmetrystatement · cited by 0
- CategoryTheory.symmetricOfHasFiniteCoproducts_braidingstatement · cited by 0
- HomotopicalAlgebra.Cylinder.symm_i_assocstatement · cited by 0