@@ -455,7 +455,7 @@ lemma contMDiff_equivTangentBundleProd_symm :
455455 filter_upwards [chart_source_mem_nhds (ModelProd (ModelProd H E) (ModelProd H' E')) (a, b)]
456456 with p hp
457457 -- now we have to check that the original map coincides locally with `pM` read in target chart.
458- simp only [prodChartedSpace_chartAt, OpenPartialHomeomorph.prod_toPartialHomeomorph ,
458+ simp only [prodChartedSpace_chartAt, OpenPartialHomeomorph.prod_toPartialEquiv ,
459459 PartialEquiv.prod_source, mem_prod, TangentBundle.mem_chart_source_iff] at hp
460460 let φ (x : E) := I ((chartAt H a.proj) ((chartAt H p.1 .proj).symm (I.symm x)))
461461 have D0 : DifferentiableWithinAt 𝕜 φ (Set.range I) (I ((chartAt H p.1 .proj) p.1 .proj)) := by
@@ -494,7 +494,7 @@ lemma contMDiff_equivTangentBundleProd_symm :
494494 filter_upwards [chart_source_mem_nhds (ModelProd (ModelProd H E) (ModelProd H' E')) (a, b)]
495495 with p hp
496496 -- now we have to check that the original map coincides locally with `pM'` read in target chart.
497- simp only [prodChartedSpace_chartAt, OpenPartialHomeomorph.prod_toPartialHomeomorph ,
497+ simp only [prodChartedSpace_chartAt, OpenPartialHomeomorph.prod_toPartialEquiv ,
498498 PartialEquiv.prod_source, mem_prod, TangentBundle.mem_chart_source_iff] at hp
499499 let φ (x : E') := I' ((chartAt H' b.proj) ((chartAt H' p.2 .proj).symm (I'.symm x)))
500500 have D0 : DifferentiableWithinAt 𝕜 φ (Set.range I') (I' ((chartAt H' p.2 .proj) p.2 .proj)) := by
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