sum_hom_units_eq_zero

∀ {R : Type u_1} {G : Type u_2} [inst : CommRing R] [IsDomain R] [inst_2 : Group G] [inst_3 : Fintype G] (f : G →* R),
  f ≠ 1 → ∑ g, f g = 0

In an integral domain, a sum indexed by a nontrivial homomorphism from a finite group is zero.

Defined in: Mathlib.RingTheory.IntegralDomain
Cited by: 1 results in Mathlib
Foundations: Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain Group Fintype

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