Theorems · Theorem · commutative algebra

prodXSubSMul.coeff

∀ (G : Type u_2) [inst : Group G] [inst_1 : Fintype G] (R : Type u_3) [inst_2 : CommRing R]
  [inst_3 : MulSemiringAction G R] (x : R) (g : G) (n : ℕ),
  g • (prodXSubSMul G R x).coeff n = (prodXSubSMul G R x).coeff n

Defined in: Mathlib.Algebra.Polynomial.GroupRingAction
Cited by: 0 results in Mathlib
Foundations: Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Fintype CommRing MulSemiringAction

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CommRingstatement and proof · cited by 17,173
Fintypestatement and proof · cited by 7,736
Groupstatement and proof · cited by 6,238
Polynomialproof · cited by 5,681
Polynomial.coeffstatement and proof · cited by 1,045
MulSemiringActionstatement and proof · cited by 423
Polynomial.coeff_smulproof · cited by 31
prodXSubSMulstatement and proof · cited by 7
prodXSubSMul.smulproof · cited by 1

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