Skip to content

eq_seriesl #911

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
proux01 merged 1 commit into from
Apr 27, 2023
Merged

eq_seriesl #911

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
2 changes: 2 additions & 0 deletions CHANGELOG_UNRELEASED.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,8 @@
+ lemma `lipschitz_set0`, `lipschitz_set1`
- in `measure.v`:
+ lemma `measurable_fun_bigcup`
- in `sequences.v`:
+ lemma `eq_eseriesl`

### Changed

Expand Down
5 changes: 5 additions & 0 deletions theories/sequences.v
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -1576,6 +1576,11 @@ Lemma eq_eseriesr (R : realFieldType) (f g : (\bar R)^nat) (P : pred nat) :
\sum_(i <oo | P i) f i = \sum_(i <oo | P i) g i.
Proof. by move=> efg; congr (lim _); apply/funext => n; exact: eq_bigr. Qed.

Lemma eq_eseriesl (R : realFieldType) (P Q : pred nat) (f : (\bar R)^nat) :
P =1 Q -> \sum_(i <oo | P i) f i = \sum_(i <oo | Q i) f i.
Proof. by move=> efg; congr (lim _); apply/funext => n; exact: eq_bigl. Qed.
Arguments eq_eseriesl {R P} Q.

Section ereal_series.
Variables (R : realFieldType) (f : (\bar R)^nat).
Implicit Types P : pred nat.
Expand Down