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Theorems · Theorem · commutative algebra

MvPolynomial.IsSymmetric.mul

∀ {σ : Type u_1} {R : Type u_3} [inst : CommSemiring R] {φ ψ : MvPolynomial σ R},
  φ.IsSymmetric → ψ.IsSymmetric → (φ * ψ).IsSymmetric
Defined in
Mathlib.RingTheory.MvPolynomial.Symmetric.Defs
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Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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CommSemiring · cited by 10911CommSemiringFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialSubalgebra.mul_mem · cited by 26Subalgebra.mul_memMvPolynomial.symmetricSubalgebra · cited by 21MvPolynomial.symmetricSub…MvPolynomial.IsSymmetric · cited by 18MvPolynomial.IsSymmetricIsSymmetric.mulCITED BYCITES

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