Theorems · Theorem · linear algebra
LinearMap.BilinForm.IsAlt.eq_of_add_add_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} [IsCancelAdd R] {a b c : M}, B.IsAlt → a + b + c = 0 → (B a) b = (B b) c- Cited by
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- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- LinearMap.BilinFormstatement and proof · cited by 501
- IsCancelAddstatement and proof · cited by 79
- LinearMap.BilinForm.IsAltstatement and proof · cited by 12
- LinearMap.IsAlt.eq_of_add_add_eq_zeroproof · cited by 2
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