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Theorems · Theorem · linear algebra

Matrix.toMvPolynomial_one

∀ {n : Type u_2} {R : Type u_4} [inst : Fintype n] [inst_1 : CommSemiring R] [inst_2 : DecidableEq n],
  Matrix.toMvPolynomial 1 = MvPolynomial.X
Defined in
Mathlib.Algebra.Module.LinearMap.Polynomial
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeCommSemiringDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearMap.toMvPolynomial_id · cited by 0LinearMap.toMvPolynomial_…DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringFintype · cited by 7736FintypeMatrix · cited by 4303MatrixFinset.univ · cited by 3473Finset.univone_mul · cited by 2841one_mulMvPolynomial · cited by 2140MvPolynomialmap_zero · cited by 1614map_zeroFinsupp.single · cited by 943Finsupp.singleMvPolynomial.X · cited by 552MvPolynomial.XMvPolynomial.monomial · cited by 253MvPolynomial.monomialFinset.sum_eq_single · cited by 98Finset.sum_eq_singleMatrix.one_apply_ne · cited by 39Matrix.one_apply_neMatrix.one_apply_eq · cited by 35Matrix.one_apply_eqMatrix.toMvPolynomial · cited by 14Matrix.toMvPolynomialMatrix.toMvPolynomial_oneCITED BYCITES

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

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