Theorems · Theorem · commutative algebra

MvPolynomial.DirectSum.coeAddMonoidHom_eq_support_sum

∀ (R : Type u_1) {M : Type u_2} [inst : CommSemiring R] {σ : Type u_3} [inst_1 : AddCommMonoid M] (w : σ → M)
  [inst_2 : DecidableEq σ] [inst_3 : DecidableEq R] [inst_4 : DecidableEq M]
  (x : DirectSum M fun i => ↥(MvPolynomial.weightedHomogeneousSubmodule R w i)),
  (DirectSum.coeAddMonoidHom fun i => MvPolynomial.weightedHomogeneousSubmodule R w i) x =
    DFinsupp.sum x fun x x_1 => ↑x_1

Defined in

Mathlib.RingTheory.MvPolynomial.WeightedHomogeneous

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidDecidableEqDecidableEqDecidableEq