Theorems · Theorem · linear algebra

Module.DualBases.eval_same

∀ {R : Type u_1} {M : Type u_2} {ι : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {e : ι → M} {ε : ι → Module.Dual R M}, Module.DualBases e ε → ∀ (i : ι), (ε i) (e i) = 1

Defined in

Mathlib.LinearAlgebra.Dual.Basis

Cited by

2 results in Mathlib

Foundations

Depth 21 from the axioms · uses no axioms

Assumes

CommSemiringAddCommMonoidModule