Theorems · Theorem · linear algebra

LinearMap.BilinForm.isSymm_iff_basis

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {B : LinearMap.BilinForm R M} {ι : Type u_8} (b : Module.Basis ι R M),
  B.IsSymm ↔ ∀ (i j : ι), (B (b i)) (b j) = (B (b j)) (b i)

Defined in: Mathlib.LinearAlgebra.BilinearForm.Properties
Cited by: 0 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module

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Module.Basisstatement and proof · cited by 1,477

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