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Commit 2022-08-10 10:23 4ef4fefe

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feat(geometry/manifold/cont_mdiff): more flexibility in changing charts (#15519)

Adds lemmas that allows one to change the chart one considers for only the source or target
Also adds a lemma that shows cont_mdiff_on if the source and target lie completely in one chart.
Also add various properties for local_invariant_prop
From the sphere eversion project

Estimated changes

Modified src/geometry/manifold/cont_mdiff.lean

added theorem basic_smooth_vector_bundle_core.cont_mdiff_at_iff_target

added theorem cont_diff_within_at_prop_self

added theorem cont_diff_within_at_prop_self_source

added theorem cont_diff_within_at_prop_self_target

added theorem cont_mdiff_at_iff_source_of_mem_source

added theorem cont_mdiff_at_iff_target

added theorem cont_mdiff_at_iff_target_of_mem_source

added theorem cont_mdiff_on_iff_of_subset_source

added theorem cont_mdiff_within_at_iff_source_of_mem_source

added theorem cont_mdiff_within_at_iff_target_of_mem_source

added theorem ext_chart_at_symm_continuous_within_at_comp_right_iff

added theorem model_with_corners.symm_continuous_within_at_comp_right_iff

added theorem smooth_at_iff_target

Modified src/geometry/manifold/local_invariant_properties.lean

added theorem structure_groupoid.lift_prop_within_at_self

added theorem structure_groupoid.lift_prop_within_at_self_source

added theorem structure_groupoid.lift_prop_within_at_self_target

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart'

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_source

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_source_aux

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_target

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_target_aux2

added theorem structure_groupoid.local_invariant_prop.lift_prop_within_at_indep_chart_target_aux

added theorem structure_groupoid.local_invariant_prop.right_invariance

Modified src/geometry/manifold/mfderiv.lean

Modified src/geometry/manifold/smooth_manifold_with_corners.lean

added theorem maps_to_ext_chart_at

Modified src/topology/local_homeomorph.lean