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feat(geometry/manifold/mfderiv): more lemmas (#6679)
* move section `mfderiv_fderiv` up, add aliases; * rename old `unique_mdiff_on.unique_diff_on` to `unique_mdiff_on.unique_diff_on_target_inter`; * add a section about `continuous_linear_map`; * more lemmas about `model_with_corners`; * add lemmas about `ext_chart_at`.
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src/analysis/calculus/fderiv.lean

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@@ -650,6 +650,10 @@ lemma has_fderiv_within_at.congr (h : has_fderiv_within_at f f' s x) (hs : ∀x
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(hx : f₁ x = f x) : has_fderiv_within_at f₁ f' s x :=
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h.congr_mono hs hx (subset.refl _)
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lemma has_fderiv_within_at.congr' (h : has_fderiv_within_at f f' s x) (hs : ∀x ∈ s, f₁ x = f x)
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(hx : x ∈ s) : has_fderiv_within_at f₁ f' s x :=
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h.congr hs (hs x hx)
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lemma has_fderiv_within_at.congr_of_eventually_eq (h : has_fderiv_within_at f f' s x)
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(h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : has_fderiv_within_at f₁ f' s x :=
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has_fderiv_at_filter.congr_of_eventually_eq h h₁ hx

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