near lemmas about derivation#1477
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affeldt-aist merged 2 commits intomath-comp:masterfrom Feb 19, 2025
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affeldt-aist
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since these lemmas have been proved once by @t6s , once by me, and since we found at least two applications for them, we can maybe considered them as reviewed? |
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Any answer to my comments above, or do you want to keep and merge them as is? |
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Sorry, I missed your comments. (Where are they?) |
t6s
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Feb 17, 2025
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Sorry, they were just drafted, not submitted. |
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No problem! Thanks. Will address ASAP. |
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(I've learned another piece of github usage) |
CohenCyril
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Feb 17, 2025
theories/derive.v
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| (f g : V -> W) (a v : V) : v != 0 -> {near a, f =1 g} -> | ||
| {near 0^', (fun h => h^-1 *: (f (h *: v + a) - f a)) =1 | ||
| (fun h => h^-1 *: (g (h *: v + a) - g a))}. |
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I have a simplification of this pending, I will submit it to you ASAP
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In the interest of the release, is it ok to merge and to keep an issue open about the optimization of this proof?
Co-authored-by: Takafumi Saikawa <tscompor@gmail.com>
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t6s
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Motivation for this change
This PR provides four lemmas about derivation and
nearthat have been useful in InfoTheo
(https://github.com/affeldt-aist/infotheo/blob/8ac29a2e5cd8096b927daf38a00519af063f8d71/lib/derive_ext.v#L96) and also in the proof of L'Hopital's rule
(#1371).
Checklist
CHANGELOG_UNRELEASED.md- [ ] added corresponding documentation in the headersReference: How to document
Reminder to reviewers