Theorems · Theorem · ring theory
Module.Basis.symmetricAlgebra_repr_apply
∀ {κ : Type uκ} {R : Type uR} {M : Type uM} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(b : Module.Basis κ R M) (x : SymmetricAlgebra R M),
b.symmetricAlgebra.repr x = (MvPolynomial.basisMonomials κ R).repr ((SymmetricAlgebra.equivMvPolynomial b) x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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- DFunLike.coestatement and proof · 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
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Module.Basisstatement and proof · cited by 1,477
- Module.Basis.reprstatement and proof · cited by 498
- TensorAlgebrastatement · cited by 81
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