Theorems · Theorem · functional analysis
Commute.exp
∀ {𝔸 : Type u_2} [inst : Ring 𝔸] [inst_1 : TopologicalSpace 𝔸] [inst_2 : IsTopologicalRing 𝔸] [T2Space 𝔸] {x y : 𝔸},
Commute x y → Commute (NormedSpace.exp x) (NormedSpace.exp y)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- T2Spacestatement and proof · cited by 1,351
- Commutestatement and proof · cited by 639
- IsTopologicalRingstatement and proof · cited by 402
- NormedSpace.expstatement · cited by 157
- Commute.exp_rightproof · cited by 4
- Commute.exp_leftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- NormedSpace.exp_sum_of_commutestatement and proof · cited by 2
- Matrix.exp_sum_of_commutestatement · cited by 0