Theorems · Theorem · functional analysis
hasDerivAt_exp
∀ {𝕂 : Type u_1} [inst : RCLike 𝕂] {x : 𝕂}, HasDerivAt NormedSpace.exp (NormedSpace.exp x) xThe exponential map in 𝕂 = ℝ or 𝕂 = ℂ has derivative NormedSpace.exp x
at any point x.
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- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RCLikestatement and proof · cited by 2,829
- HasDerivAtstatement · cited by 493
- NormedSpace.expstatement · cited by 157
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- hasStrictDerivAt_expproof · cited by 1
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