Theorems · Theorem · linear algebra

Submodule.coe_dualCoannihilator_span

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (s : Set (Module.Dual R M)), ↑(Submodule.span R s).dualCoannihilator = {x | ∀ f ∈ s, f x = 0}

Defined in

Mathlib.LinearAlgebra.Dual.Defs

Cited by

2 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModule