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1 parent b881857 commit 4d5d429Copy full SHA for 4d5d429
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Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean
@@ -124,8 +124,10 @@ lemma mono (hs : IsLocalFrameOn I F n s u) (hu'u : u' ⊆ u) : IsLocalFrameOn I
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exact hs.generating (hu'u hx)
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contMDiffOn i := (hs.contMDiffOn i).mono hu'u
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+-- TODO think: is this bracketing behaviour desired!
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+-- in any case, add a test and a nicer error message!
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lemma contMDiffAt (hs : IsLocalFrameOn I F n s u) (hu : IsOpen u) (hx : x ∈ u) (i : ι) :
- CMDiffAt n (T% s i) x :=
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+ CMDiffAt n (T% (s i)) x :=
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(hs.contMDiffOn i).contMDiffAt <| hu.mem_nhds hx
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/-- Given a local frame `{s i}` on `U ∋ x`, returns the basis `{s i}` of `V x` -/
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