Skip to content

fixes #1370 #1480

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
affeldt-aist merged 1 commit into from
Feb 14, 2025
Merged

fixes #1370 #1480

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
3 changes: 3 additions & 0 deletions CHANGELOG_UNRELEASED.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -146,6 +146,9 @@
+ `sedDI_closedP` -> `setD_closedP`
+ `setringDI` -> `setringD`

- in `lebesgue_integral.v`:
+ `Rintegral_setU_EFin` -> `Rintegral_setU`

### Generalized

- in `sequences.v`,
Expand Down
2 changes: 1 addition & 1 deletion theories/ftc.v
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -560,7 +560,7 @@ have [d [d0 /= {}int_normr_cont]] := int_normr_cont _ e0.
near=> x.
rewrite [in X in X - _](@itv_bndbnd_setU _ _ _ (BRight x))//;
[|by rewrite bnd_simp ltW..].
rewrite Rintegral_setU_EFin//=; last 2 first.
rewrite Rintegral_setU//=; last 2 first.
rewrite -itv_bndbnd_setU// ?bnd_simp; last 2 first.
by near: x; exact: nbhs_left_ge.
exact/ltW.
Expand Down
6 changes: 4 additions & 2 deletions theories/lebesgue_integral.v
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -4730,7 +4730,7 @@ by apply: ge0_le_integral => //=; do 2 apply: measurableT_comp => //;
exact/measurable_EFinP.
Qed.

Lemma Rintegral_setU_EFin (A B : set T) (f : T -> R) :
Lemma Rintegral_setU (A B : set T) (f : T -> R) :
d.-measurable A -> d.-measurable B ->
mu.-integrable (A `|` B) (EFin \o f) -> [disjoint A & B] ->
\int[mu]_(x in (A `|` B)) f x = \int[mu]_(x in A) f x + \int[mu]_(x in B) f x.
Expand Down Expand Up @@ -4787,6 +4787,8 @@ by rewrite /Rintegral integralB_EFin// fineB//; exact: integral_fune_fin_num.
Qed.

End Rintegral.
#[deprecated(since="mathcomp-analysis 1.9.0", note="renamed to `Rintegral_setU`")]
Notation Rintegral_setU_EFin := Rintegral_setU (only parsing).

Section ae_ge0_le_integral.
Local Open Scope ereal_scope.
Expand Down Expand Up @@ -6938,7 +6940,7 @@ move=> itf; rewrite le_eqVlt => /predU1P[ax|ax xb].
rewrite (@itv_bndbnd_setU _ _ _ (BLeft x)); last 2 first.
by case: a ax {itf} => -[].
by rewrite (le_trans _ xb)// bnd_simp.
rewrite Rintegral_setU_EFin//=.
rewrite Rintegral_setU//=.
- rewrite addrAC Rintegral_itv_bndo_bndc//; last first.
apply: integrableS itf => //; apply: subset_itvl.
by rewrite (le_trans _ xb)// bnd_simp.
Expand Down