[Merged by Bors] - feat: add of_eq versions for lemmas on composition of derivatives
#11867
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eq_on versions for lemmas on composition of derivativesof_eq versions for lemmas on composition of derivatives
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Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com>
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Apr 6, 2024
…11867) The versions we have assume that `f` is differentiable at `h x` and `h` is differentiable at `x`, to deduce that `f o h` is differentiable at `x`. In many applications, we have that `f` is differentiable at some point which happens to be equal to `h x`, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We add `of_eq` versions assuming instead that `f` is differentiable at `y` and that `y = h x`, which is much more flexible in practice.
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of_eq versions for lemmas on composition of derivativesof_eq versions for lemmas on composition of derivatives
Louddy
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Apr 15, 2024
…11867) The versions we have assume that `f` is differentiable at `h x` and `h` is differentiable at `x`, to deduce that `f o h` is differentiable at `x`. In many applications, we have that `f` is differentiable at some point which happens to be equal to `h x`, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We add `of_eq` versions assuming instead that `f` is differentiable at `y` and that `y = h x`, which is much more flexible in practice.
atarnoam
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Apr 16, 2024
…11867) The versions we have assume that `f` is differentiable at `h x` and `h` is differentiable at `x`, to deduce that `f o h` is differentiable at `x`. In many applications, we have that `f` is differentiable at some point which happens to be equal to `h x`, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We add `of_eq` versions assuming instead that `f` is differentiable at `y` and that `y = h x`, which is much more flexible in practice.
uniwuni
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Apr 19, 2024
…11867) The versions we have assume that `f` is differentiable at `h x` and `h` is differentiable at `x`, to deduce that `f o h` is differentiable at `x`. In many applications, we have that `f` is differentiable at some point which happens to be equal to `h x`, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We add `of_eq` versions assuming instead that `f` is differentiable at `y` and that `y = h x`, which is much more flexible in practice.
callesonne
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Apr 22, 2024
…11867) The versions we have assume that `f` is differentiable at `h x` and `h` is differentiable at `x`, to deduce that `f o h` is differentiable at `x`. In many applications, we have that `f` is differentiable at some point which happens to be equal to `h x`, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We add `of_eq` versions assuming instead that `f` is differentiable at `y` and that `y = h x`, which is much more flexible in practice.
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The versions we have assume that
fis differentiable ath xandhis differentiable atx, to deduce thatf o his differentiable atx. In many applications, we have thatfis differentiable at some point which happens to be equal toh x, but not definitionally, so one needs to jump through some hoops to apply the composition lemma. We addof_eqversions assuming instead thatfis differentiable atyand thaty = h x, which is much more flexible in practice.This could be done throughout the library for many composition-like lemmas. I'm only doing it in the file
Deriv.Compin this PR.