[Merged by Bors] - feat: contMDiff_section_of_tsupport#26671
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grunweg wants to merge 15 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat: contMDiff_section_of_tsupport#26671grunweg wants to merge 15 commits intoleanprover-community:masterfrom
contMDiff_section_of_tsupport#26671grunweg wants to merge 15 commits intoleanprover-community:masterfrom
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PR summary 19d3601142Import changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diff
You can run this locally as follows## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for No changes to technical debt.You can run this locally as
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contMDiffOn_iUnion_iff_of_isOpencontMDiff_section_of_smul_smoothBumpFunction
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sgouezel
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Jul 7, 2025
contMDiff_section_of_smul_smoothBumpFunctioncontMDiff_section_of_tsupport
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mathlib-bors bot
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Jul 10, 2025
A scalar product `f • s` of a `C^k` function f : M → ℝ with a section `s` is `C^k` once `s` is `C^k` on an open subset containing `tsupport `s`. In particular, this applies to proving the smoothness of a section paired with a smooth bump function. This is more general than `contMDiff_of_tsupport` since the co-domain is the total space of a vector bundle, which does not have a `Zero`. Part of the path towards the geodesics and the Levi-Civita connection.
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contMDiff_section_of_tsupportcontMDiff_section_of_tsupport
BeibeiX0
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Jul 16, 2025
A scalar product `f • s` of a `C^k` function f : M → ℝ with a section `s` is `C^k` once `s` is `C^k` on an open subset containing `tsupport `s`. In particular, this applies to proving the smoothness of a section paired with a smooth bump function. This is more general than `contMDiff_of_tsupport` since the co-domain is the total space of a vector bundle, which does not have a `Zero`. Part of the path towards the geodesics and the Levi-Civita connection.
callesonne
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Jul 24, 2025
A scalar product `f • s` of a `C^k` function f : M → ℝ with a section `s` is `C^k` once `s` is `C^k` on an open subset containing `tsupport `s`. In particular, this applies to proving the smoothness of a section paired with a smooth bump function. This is more general than `contMDiff_of_tsupport` since the co-domain is the total space of a vector bundle, which does not have a `Zero`. Part of the path towards the geodesics and the Levi-Civita connection.
hrmacbeth
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Jul 28, 2025
A scalar product `f • s` of a `C^k` function f : M → ℝ with a section `s` is `C^k` once `s` is `C^k` on an open subset containing `tsupport `s`. In particular, this applies to proving the smoothness of a section paired with a smooth bump function. This is more general than `contMDiff_of_tsupport` since the co-domain is the total space of a vector bundle, which does not have a `Zero`. Part of the path towards the geodesics and the Levi-Civita connection.
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A scalar product
f • sof aC^kfunction f : M → ℝ with a sectionsisC^koncesisC^kon an open subset containingtsupports`. In particular, this applies to proving the smoothness of a section paired with a smooth bump function.This is more general than
contMDiff_of_tsupportsince the co-domain is the total space of a vector bundle, which does not have aZero.Part of the path towards the geodesics and the Levi-Civita connection.
contMDiffOn_iUnion_iff_of_isOpen#26673C^ksections isC^k#26674