Theorems · Theorem · linear algebra

Finsupp.lapply_comp_lsingle_of_ne

∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (a a' : α), a ≠ a' → Finsupp.lapply a ∘ₗ Finsupp.lsingle a' = 0

Defined in

Mathlib.LinearAlgebra.Finsupp.Defs

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule