Theorems · Theorem · category theory
FGModuleCat.FGModuleCatCoevaluation_apply_one
∀ (K : Type u) [inst : Field K] (V : FGModuleCat K),
(CategoryTheory.ConcreteCategory.hom (FGModuleCat.FGModuleCatCoevaluation K V).hom) 1 =
∑ i, (Module.Basis.ofVectorSpace K ↑V) i ⊗ₜ[K] (Module.Basis.ofVectorSpace K ↑V).coord i- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Set.Elemstatement · cited by 7,166
- Finset.sumstatement · cited by 5,195
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- Finset.univstatement · cited by 3,473
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- TensorProductstatement · cited by 2,545
- Module.Basisstatement · cited by 1,477
- ModuleCatstatement · cited by 1,429
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