[Merged by Bors] - feat(topology/support): add lemma locally_finite.exists_finset_nhd_mul_support_subset
#13006
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…ul_support_subseteq` When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point.
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Do you ever need |
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
Strictly speaking: no, I do not need this. However it is convenient and seems worth having. In my application I have a family of functions which are smooth on |
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locally_finite.exists_finset_nhd_mul_support_subseteqlocally_finite.exists_finset_nhd_mul_support_subset
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…ul_support_subset` (#13006) When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point. Formalized as part of the Sphere Eversion project.
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…ul_support_subset` (#13006) When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point. Formalized as part of the Sphere Eversion project.
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locally_finite.exists_finset_nhd_mul_support_subsetlocally_finite.exists_finset_nhd_mul_support_subset
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…ul_support_subset` (#13006) When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point. Formalized as part of the Sphere Eversion project.
jjaassoonn
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Apr 7, 2022
…ul_support_subset` (#13006) When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point. Formalized as part of the Sphere Eversion project.
jjaassoonn
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Apr 7, 2022
…ul_support_subset` (#13006) When using a partition of unity to glue together a family of functions, this lemma allows us to pass to a finite family in the neighbourhood of any point. Formalized as part of the Sphere Eversion project.
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Apr 18, 2022
The Mathlib PR leanprover-community/mathlib#13006 rendered these redundant. In fact the hope is to avoid this approach entirely by using `exists_cont_diff_of_convex` (or possibly a generalisation of it). However it's useful to start purging easy stuff from `to_mathlib`.
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The Mathlib PR leanprover-community/mathlib#13006 rendered these redundant. In fact the hope is to avoid this approach entirely by using `exists_cont_diff_of_convex` (or possibly a generalisation of it). However it's useful to start purging easy stuff from `to_mathlib`.
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When using a partition of unity to glue together a family of functions, this lemma allows
us to pass to a finite family in the neighbourhood of any point.
Formalized as part of the Sphere Eversion project.