Theorems · Theorem · ring theory

MonoidAlgebra.coeff_supportedEquivFinsupp_symm_apply_coe_apply

∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Module R S]
  (s : Set M) (a : ↑s →₀ S) (a_1 : M),
  (↑((MonoidAlgebra.supportedEquivFinsupp s).symm a)).coeff a_1 = if h : a_1 ∈ s then a ⟨a_1, h⟩ else 0

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModule