Theorems · Theorem · ring theory

MonoidAlgebra.single_add_erase

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (x : MonoidAlgebra R M),
  MonoidAlgebra.single m (x.coeff m) + MonoidAlgebra.erase m x = x

Defined in

Mathlib.Algebra.MonoidAlgebra.Defs

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Semiring