Mathlib Map

Theorems · Theorem · functional analysis

NormedSpace.isUnit_exp

∀ {𝔸 : Type u_1} [inst : NormedRing 𝔸] [NormedAlgebra ℚ 𝔸] [CompleteSpace 𝔸] (x : 𝔸), IsUnit (NormedSpace.exp x)
Defined in
Mathlib.Analysis.Normed.Algebra.Exponential
Cited by
1 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedRingNormedAlgebraCompleteSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.isUnit_exp · cited by 1Matrix.isUnit_expCompleteSpace · cited by 2532CompleteSpaceIsUnit · cited by 1602IsUnitNormedAlgebra · cited by 1165NormedAlgebraNormedRing · cited by 924NormedRingNormedSpace.exp · cited by 157NormedSpace.expedist_lt_top · cited by 32edist_lt_topNormedSpace.expSeries_radius_eq_top · cited by 27NormedSpace.expSeries_rad…NormedSpace.isUnit_exp_of_mem_ball · cited by 1NormedSpace.isUnit_exp_of…NormedSpace.isUnit_expCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.