Theorems · Theorem · functional analysis
IsSelfAdjoint.I_smul_mem_skewAdjoint
∀ {K : Type u_1} [inst : RCLike K] {A : Type u_3} [inst_1 : AddCommGroup A] [inst_2 : StarAddMonoid A]
[inst_3 : Module K A] [StarModule K A] {a : A}, IsSelfAdjoint a → RCLike.I • a ∈ skewAdjoint A- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 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
- AddCommGroupstatement and proof · cited by 12,871
- AddSubgroupstatement · cited by 3,232
- RCLikestatement and proof · cited by 2,829
- StarModulestatement and proof · cited by 570
- IsSelfAdjointstatement and proof · cited by 545
- StarAddMonoidstatement and proof · cited by 296
- RCLike.Istatement · cited by 100
- skewAdjointstatement · cited by 34
- IsSelfAdjoint.smul_mem_skewAdjointproof · cited by 2
- RCLike.I_mem_skewAdjointproof · cited by 2
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