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chore: mark some lemmas as simp
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Mathlib/Geometry/Manifold/ChartedSpace.lean

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@@ -889,11 +889,13 @@ lemma ChartedSpace.sum_chartAt_inr (x' : M') :
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chartAt H (Sum.inr x') = (chartAt H x').lift_openEmbedding (X' := M ⊕ M') IsOpenEmbedding.inr :=
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rfl
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@[simp]
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lemma sum_chartAt_inl_apply {x : M} :
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((chartAt H (.inl x : M ⊕ M')) (Sum.inl x)) = (chartAt H x) x := by
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rw [ChartedSpace.sum_chartAt_inl]
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exact PartialHomeomorph.lift_openEmbedding_apply _ _
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@[simp]
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lemma sum_chartAt_inr_apply {x : M'} :
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((chartAt H (.inr x : M ⊕ M')) (Sum.inr x)) = (chartAt H x) x := by
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rw [ChartedSpace.sum_chartAt_inr]

Mathlib/Geometry/Manifold/ContMDiff/Product.lean

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@@ -395,10 +395,12 @@ lemma ContMDiff.inr : ContMDiff I I n (@Sum.inr M M') := by
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rw [← I.image_eq (chartAt H x).target]
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exact (chartAt H x).extend_image_target_mem_nhds (mem_chart_source _ x)
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@[simp]
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lemma extChartAt_inl_apply {x : M} :
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((extChartAt I (.inl x : M ⊕ M')) (Sum.inl x)) = (extChartAt I x) x := by
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simp [sum_chartAt_inl_apply]
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@[simp]
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lemma extChartAt_inr_apply {x : M'} :
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((extChartAt I (.inr x : M ⊕ M')) (Sum.inr x)) = (extChartAt I x) x := by
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simp [sum_chartAt_inr_apply]

Mathlib/Topology/PartialHomeomorph.lean

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@@ -1371,6 +1371,7 @@ noncomputable def lift_openEmbedding (e : PartialHomeomorph X Z) (hf : IsOpenEmb
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lemma lift_openEmbedding_toFun (e : PartialHomeomorph X Z) (hf : IsOpenEmbedding f) :
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(e.lift_openEmbedding hf) = extend f e (fun _ ↦ (Classical.arbitrary Z)) := rfl
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@[simp]
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lemma lift_openEmbedding_apply (e : PartialHomeomorph X Z) (hf : IsOpenEmbedding f) {x : X} :
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(lift_openEmbedding e hf) (f x) = e x := by
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simp_rw [e.lift_openEmbedding_toFun]
@@ -1397,6 +1398,7 @@ lemma lift_openEmbedding_symm_target (e : PartialHomeomorph X Z) (hf : IsOpenEmb
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(e.lift_openEmbedding hf).symm.target = f '' e.source := by
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rw [PartialHomeomorph.symm_target, e.lift_openEmbedding_source]
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@[simp]
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lemma lift_openEmbedding_trans_apply
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(e e' : PartialHomeomorph X Z) (hf : IsOpenEmbedding f) (z : Z) :
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(e.lift_openEmbedding hf).symm.trans (e'.lift_openEmbedding hf) z = (e.symm.trans e') z := by

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