Theorems · Definition · category theory
CategoryTheory.ExactPairing.evaluation
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
(X Y : C) →
[CategoryTheory.ExactPairing X Y] →
CategoryTheory.MonoidalCategoryStruct.tensorObj Y X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit CEvaluation of an exact pairing.
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.ExactPairingstatement and proof · cited by 20
- CategoryTheory.ExactPairing.evaluation'proof · cited by 2
Cited by38
Results whose statement or proof uses this declaration.
- CategoryTheory.leftAdjointMateproof · cited by 13
- CategoryTheory.rightAdjointMateproof · cited by 13
- CategoryTheory.tensorLeftHomEquivproof · cited by 9
- CategoryTheory.tensorRightHomEquivproof · 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_evaluationstatement · cited by 2
- CategoryTheory.ExactPairing.evaluation_coevaluationstatement · cited by 2
- CategoryTheory.comp_leftAdjointMateproof · cited by 1
- CategoryTheory.comp_rightAdjointMateproof · cited by 1
- CategoryTheory.ExactPairing.coevaluation_evaluation_assocstatement and proof · cited by 1
- CategoryTheory.ExactPairing.evaluation_coevaluation_assocstatement and proof · cited by 1