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fix
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hoheinzollern committed Aug 15, 2024
1 parent 493c49e commit cd4fa44
Showing 1 changed file with 3 additions and 8 deletions.
11 changes: 3 additions & 8 deletions theories/lspace.v
Original file line number Diff line number Diff line change
Expand Up @@ -115,17 +115,12 @@ Lemma LType2_integrable_sqr (f : LType mu 2) :
mu.-integrable [set: T] (EFin \o (fun x => f x ^+ 2)).
Proof.
apply/integrableP; split.

apply/EFin_measurable_fun.
exact: (@measurableT_comp _ _ _ _ _ _ (fun x : R => x ^+ 2)%R _ f) => //.
exact/EFin_measurable_fun/(@measurableT_comp _ _ _ _ _ _ (fun x : R => x ^+ 2)%R _ f)/measurable_lfun.
rewrite (le_lt_trans _ (lfuny f))// ge0_le_integral//.
- apply: measurableT_comp => //.
apply/EFin_measurable_fun.
exact: (@measurableT_comp _ _ _ _ _ _ (fun x : R => x ^+ 2)%R _ f) => //.
exact/EFin_measurable_fun/(@measurableT_comp _ _ _ _ _ _ (fun x : R => x ^+ 2)%R _ f)/measurable_lfun.
- by move=> x _; rewrite lee_fin powR_ge0.
- apply/EFin_measurable_fun.
apply: (@measurableT_comp _ _ _ _ _ _ (fun x : R => x `^ 2)%R) => //.
exact: measurableT_comp.
- exact/EFin_measurable_fun/(@measurableT_comp _ _ _ _ _ _ (fun x : R => x `^ 2)%R)/measurableT_comp/measurable_lfun.
- by move=> t _/=; rewrite lee_fin normrX powR_mulrn.
Qed.

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