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Theorems · Theorem · linear algebra

LinearMap.BilinForm.IsRefl.eq_zero

∀ {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}, B.IsRefl → ∀ {x y : M}, (B x) y = 0 → (B y) x = 0
Defined in
Mathlib.LinearAlgebra.BilinearForm.Properties
Cited by
1 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearMap.BilinForm.IsRefl.eq_iff · cited by 2IsRefl.eq_iffDFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapLinearMap.BilinForm · cited by 501LinearMap.BilinFormLinearMap.BilinForm.IsRefl · cited by 30BilinForm.IsReflIsRefl.eq_zeroCITED BYCITES

Cites8

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Cited by1

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