Theorems · Theorem · linear algebra
dualTensorHomEquiv_eq_dualTensorHomEquivOfBasis
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommSemiring R] [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] (b : Module.Basis ι R M)
[inst_5 : DecidableEq ι] [inst_6 : Fintype ι],
have this := ⋯;
have this_1 := ⋯;
dualTensorHomEquiv R M N = dualTensorHomEquivOfBasis b- Defined in
- Mathlib.LinearAlgebra.Contraction
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- LinearEquivstatement · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- Module.Basisstatement and proof · cited by 1,477
- Module.Finitestatement · cited by 1,032
- LinearMap.extproof · cited by 844
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.trace_eq_contract'proof · cited by 0