Theorems · Definition · category theory
CategoryTheory.Limits.BinaryFan
{C : Type u} → [CategoryTheory.Category.{v, u} C] → C → C → Type (max (max 0 u) v)A binary fan is just a cone on a diagram indexing a product.
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Limits.Coneproof · cited by 710
- CategoryTheory.Limits.pairproof · cited by 536
Cited by109
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.BinaryFan.mkstatement · cited by 112
- CategoryTheory.Limits.BinaryFan.fststatement and proof · cited by 53
- CategoryTheory.Limits.BinaryFan.sndstatement and proof · cited by 53
- CategoryTheory.Limits.pullbackConeEquivBinaryFanstatement and proof · cited by 23
- CategoryTheory.Limits.IsLimit.pullbackConeEquivBinaryFanFunctorstatement and proof · cited by 13
- CategoryTheory.Limits.BinaryFan.IsLimit.liftstatement and proof · cited by 12
- CategoryTheory.Limits.BinaryFan.braidingstatement and proof · cited by 8
- CategoryTheory.Limits.Types.binaryProductConestatement · cited by 8
- CategoryTheory.Limits.BinaryFan.IsLimit.lift'_coestatement and proof · cited by 7
- CategoryTheory.Limits.BinaryFan.assocstatement and proof · cited by 6
- CategoryTheory.Limits.BinaryFan.assocInvstatement and proof · cited by 6
- CategoryTheory.Limits.IsLimit.binaryFanSwapstatement and proof · cited by 6