Theorems · Theorem · linear algebra
LinearMap.BilinForm.isSymm_iff_flip
∀ {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.IsSymm ↔ LinearMap.BilinForm.flipHom B = B- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- LinearEquivstatement · cited by 3,317
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.BilinForm.IsSymmstatement and proof · cited by 35
- LinearMap.BilinForm.extproof · cited by 22
- LinearMap.BilinForm.flipHomstatement and proof · cited by 3
- LinearMap.BilinForm.flip_applyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.BilinForm.dualBasis_dualBasisproof · cited by 3