Theorems · Inductive type · category theory
CategoryTheory.ExactPairing
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → C → C → Type v₁An exact pairing is a pair of objects X Y : C which admit
a coevaluation and evaluation morphism which fulfill two triangle equalities.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
Cited by52
Results whose statement or proof uses this declaration.
- CategoryTheory.ExactPairing.coevaluationstatement and proof · cited by 29
- CategoryTheory.ExactPairing.evaluationstatement and proof · cited by 29
- CategoryTheory.tensorLeftHomEquivstatement and proof · cited by 9
- CategoryTheory.tensorRightHomEquivstatement and proof · cited by 9
- CategoryTheory.ExactPairing.coevaluation_evaluation''statement and proof · cited by 3
- CategoryTheory.ExactPairing.evaluation_coevaluation''statement and proof · cited by 3
- CategoryTheory.ExactPairing.coevaluation'statement and proof · cited by 2
- CategoryTheory.ExactPairing.coevaluation_evaluationstatement and proof · cited by 2
- CategoryTheory.ExactPairing.evaluation'statement and proof · cited by 2
- CategoryTheory.ExactPairing.evaluation_coevaluationstatement and proof · cited by 2
- CategoryTheory.tensorLeftHomEquiv_symm_coevaluation_comp_whiskerLeftstatement and proof · cited by 1
- CategoryTheory.tensorRightHomEquiv_symm_coevaluation_comp_whiskerRightstatement and proof · cited by 1