Theorems · Definition · category theory
FGModuleCat.FGModuleCatEvaluation
(K : Type u) →
[inst : Field K] →
(V : FGModuleCat K) →
CategoryTheory.MonoidalCategoryStruct.tensorObj (FGModuleCat.FGModuleCatDual K V) V ⟶
CategoryTheory.MonoidalCategoryStruct.tensorUnit (FGModuleCat K)The evaluation morphism is given by the contraction map.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Fieldstatement and proof · cited by 7,404
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- ModuleCatstatement · cited by 1,429
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement and proof · cited by 52
- FGModuleCat.carrierproof · cited by 28
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- contractLeftproof · cited by 11
- FGModuleCat.FGModuleCatDualstatement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- FGModuleCat.FGModuleCatEvaluation_applystatement · cited by 0
- FGModuleCat.FGModuleCatEvaluation_apply'statement · cited by 0