Theorems · Theorem · functional analysis
NormedSpace.star_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), star (NormedSpace.exp x) = NormedSpace.exp (star x)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Algebraproof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- SummationFilter.unconditionalproof · cited by 2,068
- StarRingstatement and proof · cited by 1,686
- T2Spacestatement and proof · cited by 1,351
- tsumproof · cited by 1,148
- Star.starstatement and proof · cited by 1,082
- IsEmptyproof · cited by 759
- Nat.factorialproof · cited by 616
- ContinuousStarstatement and proof · cited by 543
- IsTopologicalRingstatement and proof · cited by 402
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.exp_conjTransposeproof · cited by 1
- NormedSpace.exp_mem_unitary_of_mem_skewAdjointproof · cited by 1
- IsSelfAdjoint.expproof · cited by 0
- isStarNormal_iff_forall_exp_mul_exp_mem_unitaryproof · cited by 0