Theorems · Theorem · functional analysis
Commute.exp_right
∀ {𝔸 : Type u_2} [inst : Ring 𝔸] [inst_1 : TopologicalSpace 𝔸] [inst_2 : IsTopologicalRing 𝔸] [T2Space 𝔸] {x y : 𝔸},
Commute x y → Commute x (NormedSpace.exp y)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- T2Spacestatement and proof · cited by 1,351
- IsEmptyproof · cited by 759
- Commutestatement and proof · cited by 639
- Nat.factorialproof · cited by 616
- IsTopologicalRingstatement and proof · cited by 402
- isEmpty_or_nonemptyproof · cited by 269
- NormedSpace.expstatement · cited by 157
- NormedSpace.exp_eq_tsumproof · cited by 13
- Commute.pow_rightproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Commute.expproof · cited by 2
- hasStrictFDerivAt_exp_smul_const_of_mem_ball'proof · cited by 2
- Commute.exp_leftproof · cited by 1
- hasFDerivAt_exp_smul_const_of_mem_ball'proof · cited by 1