Theorems · Theorem · linear algebra
LinearMap.BilinForm.Nondegenerate.ofSeparatingLeft
∀ {R₂ : Type u_3} {M₂ : Type u_4} [inst : CommRing R₂] [inst_1 : AddCommGroup M₂] [inst_2 : Module R₂ M₂] [IsDomain R₂]
[Module.Free R₂ M₂] [Module.Finite R₂ M₂] {B : LinearMap.BilinForm R₂ M₂},
LinearMap.SeparatingLeft B → B.Nondegenerate- Cited by
- 2 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Fintypeproof · cited by 7,736
- Finiteproof · cited by 3,029
- IsDomainstatement and proof · cited by 2,196
- Module.Basisproof · cited by 1,477
- Module.Finitestatement and proof · cited by 1,032
- Module.Freestatement and proof · cited by 597
- LinearMap.BilinFormstatement and proof · cited by 501
- Fintype.ofFiniteproof · cited by 255
Cited by2
Results whose statement or proof uses this declaration.
- LinearMap.BilinForm.nondegenerate_iff_ker_eq_botproof · cited by 0
- LinearMap.BilinForm.Nondegenerate.ofSeparatingRightproof · cited by 0