Theorems · Theorem · category theory
FGModuleCat.FGModuleCatEvaluation_apply
∀ (K : Type u) [inst : Field K] (V : FGModuleCat K) (f : ↑(FGModuleCat.FGModuleCatDual K V)) (x : ↑V), (CategoryTheory.ConcreteCategory.hom (FGModuleCat.FGModuleCatEvaluation K V).hom) (f ⊗ₜ[K] x) = f.toFun x
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- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
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- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- TensorProduct.tmulstatement · cited by 1,182
- ModuleCat.carrierstatement · cited by 997
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
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