Theorems · Theorem · functional analysis
IsSelfAdjoint.exp
∀ {𝔸 : Type u_2} [inst : Ring 𝔸] [inst_1 : TopologicalSpace 𝔸] [inst_2 : IsTopologicalRing 𝔸] [T2Space 𝔸]
[inst_4 : StarRing 𝔸] [ContinuousStar 𝔸] {x : 𝔸}, IsSelfAdjoint x → IsSelfAdjoint (NormedSpace.exp x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Ringstatement and proof · cited by 7,463
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
- IsSelfAdjointstatement and proof · cited by 545
- ContinuousStarstatement and proof · cited by 543
- IsTopologicalRingstatement and proof · cited by 402
- NormedSpace.expstatement · cited by 157
- NormedSpace.star_expproof · cited by 4
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