Theorems · Theorem · functional analysis
NormedSpace.exp_continuousMap_eq
∀ {𝕜 : Type u_1} {α : Type u_2} [inst : RCLike 𝕜] [inst_1 : TopologicalSpace α] [inst_2 : CompactSpace α] (f : C(α, 𝕜)),
NormedSpace.exp f = { toFun := NormedSpace.exp ∘ ⇑f, continuous_toFun := ⋯ }- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Algebraproof · cited by 11,388
- Ringproof · cited by 7,463
- RCLikestatement and proof · cited by 2,829
- ContinuousMapstatement and proof · cited by 2,491
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- Summableproof · cited by 778
- Nat.factorialproof · cited by 616
- CompactSpacestatement and proof · cited by 593
- IsTopologicalRingproof · cited by 402
Cited by1
Results whose statement or proof uses this declaration.
- CFC.exp_eq_normedSpace_expproof · cited by 5