File: Mathlib/Analysis/Calculus/FDeriv/Linear.lean

full_name: ContinuousLinearMap.hasStrictFDerivAt
code: @[fun_prop]
protected theorem ContinuousLinearMap.hasStrictFDerivAt {x : E} : HasStrictFDerivAt e e x 
goal: HasStrictFDerivAt (⇑e) e x

full_name: ContinuousLinearMap.hasFDerivAtFilter
code: protected theorem ContinuousLinearMap.hasFDerivAtFilter : HasFDerivAtFilter e e x L 
goal: HasFDerivAtFilter (⇑e) e x L

full_name: ContinuousLinearMap.hasFDerivWithinAt
code: @[fun_prop]
protected theorem ContinuousLinearMap.hasFDerivWithinAt : HasFDerivWithinAt e e s x 
goal: HasFDerivWithinAt (⇑e) e s x

full_name: ContinuousLinearMap.hasFDerivAt
code: @[fun_prop]
protected theorem ContinuousLinearMap.hasFDerivAt : HasFDerivAt e e x 
goal: HasFDerivAt (⇑e) e x

full_name: ContinuousLinearMap.differentiableAt
code: @[simp, fun_prop]
protected theorem ContinuousLinearMap.differentiableAt : DifferentiableAt 𝕜 e x 
goal: DifferentiableAt 𝕜 (⇑e) x

full_name: ContinuousLinearMap.differentiableWithinAt
code: @[fun_prop]
protected theorem ContinuousLinearMap.differentiableWithinAt : DifferentiableWithinAt 𝕜 e s x 
goal: DifferentiableWithinAt 𝕜 (⇑e) s x

full_name: ContinuousLinearMap.fderiv
code: @[simp]
protected theorem ContinuousLinearMap.fderiv : fderiv 𝕜 e x = e 
goal: fderiv 𝕜 (⇑e) x = e

full_name: ContinuousLinearMap.fderivWithin
code: protected theorem ContinuousLinearMap.fderivWithin (hxs : UniqueDiffWithinAt 𝕜 s x) :
    fderivWithin 𝕜 e s x = e 
goal: fderivWithin 𝕜 (⇑e) s x = e

full_name: ContinuousLinearMap.differentiable
code: @[simp, fun_prop]
protected theorem ContinuousLinearMap.differentiable : Differentiable 𝕜 e 
goal: Differentiable 𝕜 ⇑e

full_name: ContinuousLinearMap.differentiableOn
code: @[fun_prop]
protected theorem ContinuousLinearMap.differentiableOn : DifferentiableOn 𝕜 e s 
goal: DifferentiableOn 𝕜 (⇑e) s

full_name: IsBoundedLinearMap.hasFDerivAtFilter
code: theorem IsBoundedLinearMap.hasFDerivAtFilter (h : IsBoundedLinearMap 𝕜 f) :
    HasFDerivAtFilter f h.toContinuousLinearMap x L 
goal: HasFDerivAtFilter f h.toContinuousLinearMap x L

full_name: IsBoundedLinearMap.hasFDerivWithinAt
code: @[fun_prop]
theorem IsBoundedLinearMap.hasFDerivWithinAt (h : IsBoundedLinearMap 𝕜 f) :
    HasFDerivWithinAt f h.toContinuousLinearMap s x 
goal: HasFDerivWithinAt f h.toContinuousLinearMap s x

full_name: IsBoundedLinearMap.hasFDerivAt
code: @[fun_prop]
theorem IsBoundedLinearMap.hasFDerivAt (h : IsBoundedLinearMap 𝕜 f) :
    HasFDerivAt f h.toContinuousLinearMap x 
goal: HasFDerivAt f h.toContinuousLinearMap x

full_name: IsBoundedLinearMap.differentiableAt
code: @[fun_prop]
theorem IsBoundedLinearMap.differentiableAt (h : IsBoundedLinearMap 𝕜 f) : DifferentiableAt 𝕜 f x 
goal: DifferentiableAt 𝕜 f x

full_name: IsBoundedLinearMap.differentiableWithinAt
code: @[fun_prop]
theorem IsBoundedLinearMap.differentiableWithinAt (h : IsBoundedLinearMap 𝕜 f) :
    DifferentiableWithinAt 𝕜 f s x 
goal: DifferentiableWithinAt 𝕜 f s x

full_name: IsBoundedLinearMap.fderiv
code: theorem IsBoundedLinearMap.fderiv (h : IsBoundedLinearMap 𝕜 f) :
    fderiv 𝕜 f x = h.toContinuousLinearMap 
goal: fderiv 𝕜 f x = h.toContinuousLinearMap

full_name: IsBoundedLinearMap.fderivWithin
code: theorem IsBoundedLinearMap.fderivWithin (h : IsBoundedLinearMap 𝕜 f)
    (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = h.toContinuousLinearMap 
goal: fderivWithin 𝕜 f s x = h.toContinuousLinearMap

full_name: IsBoundedLinearMap.differentiable
code: @[fun_prop]
theorem IsBoundedLinearMap.differentiable (h : IsBoundedLinearMap 𝕜 f) : Differentiable 𝕜 f 
goal: Differentiable 𝕜 f

full_name: IsBoundedLinearMap.differentiableOn
code: @[fun_prop]
theorem IsBoundedLinearMap.differentiableOn (h : IsBoundedLinearMap 𝕜 f) : DifferentiableOn 𝕜 f s 
goal: DifferentiableOn 𝕜 f s