Proof of interchange_psum using esum - #2061
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[CI] Update Nix toolbox
fixes math-comp#2043 (missing useful instances)
| - by move=> y _; rewrite /comp/= ger0_norm// ge0_psum. | ||
| Qed. | ||
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| Lemma interchange_psum' : |
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We avoid lemmas ending with a "prime" in the MathComp ecosystem.
| by apply/andP; split; [exact: normr_ge0 | exact: ger1_psum y (H1 x)]. | ||
| Qed. | ||
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| Lemma inner_LHS x : (PosSum.psum (fun y => S x y))%:E = \esum_(y in [set: U]) `|S x y|%:E. |
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Such a name is too generic to be global. It could be local or belong to the theory of PosSum.psum
| Hypothesis H1: (forall x, summable (S x)). | ||
| Hypothesis H2: summable (fun x => PosSum.psum (fun y => S x y)). | ||
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| Lemma sm_col y : summable (fun x => `|S x y|). |
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I think that we are using summable as a substring for identifiers of lemmas using summable (the identifier).
| (* -------------------------------------------------------------------- *) | ||
| Section PSumInterchangeEsum. | ||
| Context {R : realType} {T U : choiceType} (S : T -> U -> R). | ||
| Hypothesis H1: (forall x, summable (S x)). |
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Suggested change
| Hypothesis H1: (forall x, summable (S x)). | |
| Hypothesis H1 : forall x, summable (S x). |
affeldt-aist
requested changes
Jul 30, 2026
affeldt-aist
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affeldt-aist
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Sorry again for the short comments.
Since we already have an issue with the new version of experimental_reals
(we broke the compilation of ssprove: SSProve/ssprove#89),
let us postpone this one to the next release.
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Motivation for this change
Proof of
interchange_psumusingesum. Asked by @affeldt-aist in #2007Checklist
CHANGELOG_UNRELEASED.mdReference: How to document
Reminder to reviewers