Theorems · Theorem · commutative algebra

Ideal.finsuppTotal_apply

∀ {ι : Type u_1} {M : Type u_2} [inst : AddCommGroup M] {R : Type u_3} [inst_1 : CommRing R] [inst_2 : Module R M]
  (I : Ideal R) {v : ι → M} (f : ι →₀ ↥I), (Ideal.finsuppTotal ι M I v) f = f.sum fun i x => ↑x • v i

Defined in

Mathlib.RingTheory.Ideal.Operations

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupCommRingModule