Theorems · Theorem · linear algebra
LinearMap.toMvPolynomial_id
∀ {R : Type u_1} {M₁ : Type u_2} {ι₁ : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M₁] [inst_2 : Module R M₁]
[inst_3 : Fintype ι₁] [inst_4 : DecidableEq ι₁] (b₁ : Module.Basis ι₁ R M₁),
LinearMap.toMvPolynomial b₁ b₁ LinearMap.id = MvPolynomial.X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Fintypestatement and proof · cited by 7,736
- MvPolynomialstatement · cited by 2,140
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.idstatement · cited by 625
- MvPolynomial.Xstatement and proof · cited by 552
- LinearMap.toMvPolynomialstatement · cited by 17
- Matrix.toMvPolynomialproof · cited by 14
- LinearMap.toMatrix_idproof · cited by 7
- Matrix.toMvPolynomial_oneproof · cited by 1
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