Theorems · Definition · linear algebra
coevaluation
(K : Type u) →
[inst : Field K] →
(V : Type v) →
[inst_1 : AddCommGroup V] →
[inst_2 : Module K V] → [FiniteDimensional K V] → K →ₗ[K] TensorProduct K V (Module.Dual K V)The coevaluation map is a linear map from a field K to a finite-dimensional
vector space V.
- Defined in
- Mathlib.LinearAlgebra.Coevaluation
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- TensorProductstatement · cited by 2,545
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.Basisproof · cited by 1,477
Cited by5
Results whose statement or proof uses this declaration.
- coevaluation_apply_onestatement · cited by 3
- FGModuleCat.FGModuleCatCoevaluationproof · cited by 1
- contractLeft_assoc_coevaluationstatement and proof · cited by 0
- contractLeft_assoc_coevaluation'statement and proof · cited by 0
- coevaluation.congr_simpstatement and proof · cited by 0