Theorems · Theorem · linear algebra
LinearMap.BilinForm.IsRefl.groupSMul
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {α : Type u_8}
[inst_3 : Group α] [inst_4 : DistribMulAction α R] [inst_5 : SMulCommClass R α R] (a : α)
{B : LinearMap.BilinForm R M}, B.IsRefl → (a • B).IsRefl- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
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Cites11
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Groupstatement and proof · cited by 6,238
- SMulCommClassstatement and proof · cited by 1,927
- DistribMulActionstatement and proof · cited by 584
- LinearMap.BilinFormstatement and proof · cited by 501
- LinearMap.BilinForm.IsReflstatement and proof · cited by 30
- smul_eq_zero_iff_eqproof · cited by 4
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