diff --git a/Lebesgue/bochner_integral/BInt_Bif.v b/Lebesgue/bochner_integral/BInt_Bif.v index a787980c5ed1d8b0dd0571ead8a6bd6dd4fb1044..20b87536765cfcf0c0d63e77ee5eb73e679d22e8 100644 --- a/Lebesgue/bochner_integral/BInt_Bif.v +++ b/Lebesgue/bochner_integral/BInt_Bif.v @@ -29,6 +29,16 @@ From Coquelicot Require Import Lim_seq . +From Lebesgue Require Import + measure + LInt_p + Rbar_compl + simple_fun + measurable_fun + sigma_algebra + sigma_algebra_R_Rbar +. + Require Import hierarchy_notations simpl_fun @@ -39,16 +49,6 @@ Require Import series . -Require Import - measure - LInt_p - Rbar_compl - simple_fun - measurable_fun - sigma_algebra - sigma_algebra_R_Rbar -. - Section BInt_def. diff --git a/Lebesgue/bochner_integral/BInt_LInt_p.v b/Lebesgue/bochner_integral/BInt_LInt_p.v index 15e3f279dfbf4aa848c51aa51dc892b3f49c7683..48c9d1054dfb902ea221d39d6c70a01182f82f14 100644 --- a/Lebesgue/bochner_integral/BInt_LInt_p.v +++ b/Lebesgue/bochner_integral/BInt_LInt_p.v @@ -32,6 +32,17 @@ From Coquelicot Require Import Lim_seq . +From Lebesgue Require Import + Rbar_compl + Subset_charac + sigma_algebra + sigma_algebra_R_Rbar + measurable_fun + measure + simple_fun + LInt_p +. + Require Import hierarchy_notations simpl_fun @@ -44,17 +55,6 @@ Require Import BInt_Bif . -Require Import - Rbar_compl - Subset_charac - sigma_algebra - sigma_algebra_R_Rbar - measurable_fun - measure - simple_fun - LInt_p -. - Section BInt_to_LInt_p. diff --git a/Lebesgue/bochner_integral/BInt_R.v b/Lebesgue/bochner_integral/BInt_R.v index e38f63b1a73b03a97daf0c28be5c6cb312b71223..e84d2832323c9a2ad92871c526357193b07dd833 100644 --- a/Lebesgue/bochner_integral/BInt_R.v +++ b/Lebesgue/bochner_integral/BInt_R.v @@ -31,6 +31,16 @@ From Coquelicot Require Import Lim_seq . +From Lebesgue Require Import + measure + LInt_p + Rbar_compl + simple_fun + measurable_fun + sigma_algebra + sigma_algebra_R_Rbar +. + Require Import hierarchy_notations simpl_fun @@ -41,16 +51,6 @@ Require Import series Bi_fun BInt_Bif -. - -Require Import - measure - LInt_p - Rbar_compl - simple_fun - measurable_fun - sigma_algebra - sigma_algebra_R_Rbar BInt_LInt_p . diff --git a/Lebesgue/bochner_integral/B_spaces.v b/Lebesgue/bochner_integral/B_spaces.v index fb45ce47afcd06c5df028c6a044bdd5b81b6a780..76fe97caa506abcb612d2e9d5e312e480798d695 100644 --- a/Lebesgue/bochner_integral/B_spaces.v +++ b/Lebesgue/bochner_integral/B_spaces.v @@ -33,6 +33,16 @@ From Coquelicot Require Import Lim_seq . +From Lebesgue Require Import + measure + LInt_p + Rbar_compl + simple_fun + measurable_fun + sigma_algebra + sigma_algebra_R_Rbar +. + Require Import hierarchy_notations simpl_fun @@ -47,16 +57,6 @@ Require Import BInt_LInt_p . -Require Import - measure - LInt_p - Rbar_compl - simple_fun - measurable_fun - sigma_algebra - sigma_algebra_R_Rbar -. - Section ae_eq_prop. diff --git a/Lebesgue/bochner_integral/Bi_fun.v b/Lebesgue/bochner_integral/Bi_fun.v index fd8998f0698dc3aaae122793ebc22f61f2c49d9b..9531ae05ceb57af3ff26de03a596b795fd6d3e83 100644 --- a/Lebesgue/bochner_integral/Bi_fun.v +++ b/Lebesgue/bochner_integral/Bi_fun.v @@ -32,16 +32,6 @@ From Coquelicot Require Import Markov . -Require Import - hierarchy_notations - simpl_fun - BInt_sf - Bsf_Lsf - CUS_Lim_seq - topology_compl - series -. - From Lebesgue Require Import measure LInt_p @@ -55,6 +45,16 @@ From Lebesgue Require Import logic_compl . +Require Import + hierarchy_notations + simpl_fun + BInt_sf + Bsf_Lsf + CUS_Lim_seq + topology_compl + series +. + Lemma is_LimSup_seq_Rbar_scal_l : forall u : nat -> Rbar, forall a : R, 0%R <= a -> forall l : R, is_LimSup_seq_Rbar u l -> diff --git a/Lebesgue/bochner_integral/complete_normed_module_series.v b/Lebesgue/bochner_integral/complete_normed_module_series.v index 78bcc15cc0a351a5de0d777dc1d443b0b41d8891..94297dcefcadb529c971374d53596651221544ca 100644 --- a/Lebesgue/bochner_integral/complete_normed_module_series.v +++ b/Lebesgue/bochner_integral/complete_normed_module_series.v @@ -21,6 +21,7 @@ From Coq Require Import Rbasic_fun RIneq . + From Coquelicot Require Import Hierarchy Series diff --git a/Lebesgue/bochner_integral/topology_compl.v b/Lebesgue/bochner_integral/topology_compl.v index 28ef73a634457d4d4584a4afe3a95f32ed751710..37d3ed15977d764c8e25162c69f46b3696423e9b 100644 --- a/Lebesgue/bochner_integral/topology_compl.v +++ b/Lebesgue/bochner_integral/topology_compl.v @@ -30,12 +30,15 @@ From Coquelicot Require Import Lub . -Require Import +From Lebesgue Require Import countable_sets - hierarchy_notations Rbar_compl . +Require Import + hierarchy_notations +. + Section open_subspaces.