Theorems · Theorem · functional analysis
NormedSpace.expSeries_apply_zero
∀ {𝕂 : Type u_1} {𝔸 : Type u_2} [inst : Field 𝕂] [inst_1 : Ring 𝔸] [inst_2 : Algebra 𝕂 𝔸] [inst_3 : TopologicalSpace 𝔸]
[inst_4 : IsTopologicalRing 𝔸] (n : ℕ), ((NormedSpace.expSeries 𝕂 𝔸 n) fun x => 0) = Pi.single 0 1 n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Nat.cast_oneproof · cited by 2,501
- one_smulproof · cited by 1,374
- pow_zeroproof · cited by 1,094
- ContinuousMultilinearMapstatement · cited by 1,016
- smul_zeroproof · cited by 665
- Nat.factorialproof · cited by 616
- Pi.singlestatement and proof · cited by 518
Cited by1
Results whose statement or proof uses this declaration.
- NormedSpace.exp_zeroproof · cited by 8