Theorems · Theorem · functional analysis
NormedSpace.exp_op
∀ {𝔸 : Type u_2} [inst : Ring 𝔸] [inst_1 : TopologicalSpace 𝔸] [inst_2 : IsTopologicalRing 𝔸] [T2Space 𝔸] (x : 𝔸),
NormedSpace.exp (MulOpposite.op x) = MulOpposite.op (NormedSpace.exp x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- T2Spacestatement and proof · cited by 1,351
- tsumproof · cited by 1,148
- MulOppositestatement and proof · cited by 1,135
- IsEmptyproof · cited by 759
- Nat.factorialproof · cited by 616
- MulOpposite.opstatement and proof · cited by 520
- IsTopologicalRingstatement and proof · cited by 402
- isEmpty_or_nonemptyproof · cited by 269
Cited by1
Results whose statement or proof uses this declaration.
- NormedSpace.exp_unopproof · cited by 0