Commit 2024-02-01 10:54 a2c91ca1

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refactor(PartialHomeomorph): Remove explicit variable (x : M). (#10083) Instead, supply it as needed. This replaces an explicit argument (x : M) by an implicit {x : M} in the following lemmas:

  • extChartAt_source_mem_nhds'
  • extChartAt_source_mem_nhdsWithin'
  • continuousAt_extChartAt'
  • extChartAt_image_nhd_mem_nhds_of_boundaryless
  • extChartAt_target_mem_nhdsWithin'
  • nhdsWithin_extChartAt_target_eq'
  • continuousAt_extChartAt_symm'
  • continuousAt_extChartAt_symm''
  • map_extChartAt_nhdsWithin_eq_image'
  • map_extChartAt_nhdsWithin'
  • map_extChartAt_symm_nhdsWithin'
  • map_extChartAt_symm_nhdsWithin_range'
  • extChartAt_preimage_mem_nhdsWithin'
  • extChartAt_preimage_mem_nhdsWithin
  • extChartAt_preimage_mem_nhds'
  • extChartAt_preimage_mem_nhds

Estimated changes

modified theorem continuousAt_extChartAt'
modified theorem continuousAt_extChartAt
modified theorem continuousOn_extChartAt
modified theorem extChartAt_coe
modified theorem extChartAt_coe_symm
modified theorem extChartAt_source
modified theorem extChartAt_source_mem_nhds'
modified theorem extChartAt_source_mem_nhds
modified theorem extChartAt_to_inv
modified theorem isOpen_extChartAt_preimage'
modified theorem isOpen_extChartAt_preimage
modified theorem isOpen_extChartAt_source
modified theorem map_extChartAt_nhds
modified theorem map_extChartAt_nhdsWithin'
modified theorem map_extChartAt_nhdsWithin
modified theorem mapsTo_extChartAt
modified theorem mem_extChartAt_source
modified theorem mem_extChartAt_target