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Theorems · Theorem · commutative algebra

MvPolynomial.IsSymmetric.map

∀ {σ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring S] {φ : MvPolynomial σ R},
  φ.IsSymmetric → ∀ (f : R →+* S), ((MvPolynomial.map f) φ).IsSymmetric
Defined in
Mathlib.RingTheory.MvPolynomial.Symmetric.Defs
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0 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringCommSemiring
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DFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomFinsupp · cited by 5255FinsuppMvPolynomial · cited by 2140MvPolynomialEquiv.Perm · cited by 1375Equiv.PermMvPolynomial.map · cited by 147MvPolynomial.mapMvPolynomial.IsSymmetric · cited by 18MvPolynomial.IsSymmetricMvPolynomial.map_rename · cited by 8MvPolynomial.map_renameIsSymmetric.mapCITED BYCITES

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