Theorems · Theorem · commutative algebra

MvPowerSeries.coeff_rename

∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} (f : σ → τ) [inst : Filter.TendstoCofinite f] [inst_1 : CommSemiring R]
  (p : MvPowerSeries σ R) (x : τ →₀ ℕ),
  (MvPowerSeries.coeff x) ((MvPowerSeries.rename f) p) = ∑ x ∈ ⋯.toFinset, (MvPowerSeries.coeff x) p

Defined in

Mathlib.RingTheory.MvPowerSeries.Rename

Cited by

7 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Filter.TendstoCofiniteCommSemiring