Theorems · Theorem · linear algebra
LinearMap.BilinForm.le_orthogonal_orthogonal
∀ {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} {N : Submodule R M}, B.IsRefl → N ≤ B.orthogonal (B.orthogonal N)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.BilinForm.orthogonalstatement and proof · cited by 36
- LinearMap.BilinForm.IsReflstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.BilinForm.orthogonal_orthogonalproof · cited by 1