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Theorems · Theorem · functional analysis

Ring.inverse_exp

∀ {𝔸 : Type u_1} [inst : NormedRing 𝔸] [NormedAlgebra ℚ 𝔸] [CompleteSpace 𝔸] (x : 𝔸),
  Ring.inverse (NormedSpace.exp x) = 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
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Around this declaration

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

Matrix.exp_neg · cited by 1Matrix.exp_negCompleteSpace · cited by 2532CompleteSpaceNormedAlgebra · cited by 1165NormedAlgebraNormedRing · cited by 924NormedRingRing.inverse · cited by 160Ring.inverseNormedSpace.exp · cited by 157NormedSpace.expRing.inverse_invertible · cited by 11Ring.inverse_invertibleRing.inverse_expCITED BYCITES

Cites6

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Cited by1

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