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Merged
affeldt-aist merged 2 commits into from
Feb 3, 2026
Merged

better behaved Rintegral_cst #1833

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better behaved Rintegral_cst
affeldt-aist Feb 3, 2026
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changelog
affeldt-aist Feb 3, 2026
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3 changes: 3 additions & 0 deletions CHANGELOG_UNRELEASED.md
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Expand Up @@ -13,6 +13,9 @@
- in set_interval.v
+ `itv_is_open_unbounded`, `itv_is_oo`, `itv_open_ends` (Prop to bool)

- in `lebesgue_Rintegrable.v`:
+ lemma `Rintegral_cst` (does not use `cst` anymore)

### Renamed
- in set_interval.v
+ `itv_is_ray` -> `itv_is_open_unbounded`
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2 changes: 1 addition & 1 deletion theories/lebesgue_integral_theory/lebesgue_Rintegral.v
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Expand Up @@ -146,7 +146,7 @@ Lemma Rintegral_set0 f : \int[mu]_(x in set0) f x = 0.
Proof. by rewrite /Rintegral integral_set0. Qed.

Lemma Rintegral_cst D : d.-measurable D ->
forall r, \int[mu]_(x in D) (cst r) x = r * fine (mu D).
forall r, \int[mu]_(_ in D) r = r * fine (mu D).
Proof.
move=> mD r; rewrite /Rintegral/= integral_cst//.
have := leey (mu D); rewrite le_eqVlt => /predU1P[->/=|muy]; last first.
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