Theorems · Theorem · linear algebra
LinearMap.IsSymm.add
∀ {R : Type u_1} {M : Type u_5} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {I : R →+* R}
{B C : M →ₛₗ[I] M →ₗ[R] R}, B.IsSymm → C.IsSymm → (B + C).IsSymm- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- map_addproof · cited by 964
- LinearMap.IsSymmstatement and proof · cited by 48
- LinearMap.IsSymm.eqproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.IsPosSemidef.addproof · cited by 1