powere_pos lemmas

- refactoring by Cyril Co-authored-by: Alessandro Bruni <[email protected]> Co-authored-by: Cyril Cohen <[email protected]>
math-comp · Jul 6, 2023 · a961322 · a961322
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diff --git a/CHANGELOG_UNRELEASED.md b/CHANGELOG_UNRELEASED.md
@@ -28,11 +28,11 @@
     `ae_pointwise_almost_uniform`.
 
 - in `exp.v`:
-  + lemmas `power_posrM`, `gt0_ler_power_pos`,
-    `gt0_power_pos`, `norm_power_pos`, `lt0_norm_power_pos`,
-    `power_posB`
-  + lemmas `powere_posrM`, `powere_posAC`, `gt0_powere_pos`,
-    `powere_pos_eqy`, `eqy_powere_pos`, `powere_posD`, `powere_posB`
+  + lemmas `powRrM`, `gt0_ler_powR`,
+    `gt0_powR`, `norm_powR`, `lt0_norm_powR`,
+    `powRB`
+  + lemmas `poweRrM`, `poweRAC`, `gt0_poweR`,
+    `poweR_eqy`, `eqy_poweR`, `poweRD`, `poweRB`
 
 - in `mathcomp_extra.v`:
   + definition `min_fun`, notation `\min`
@@ -41,6 +41,14 @@
 - in `lebesgue_measure.v`:
   + lemmas `measurable_fun_ltr`, `measurable_minr`
 
+- in `exp.v`:
+  + notation `` e `^?(r +? s) ``
+  + lemmas `expR_eq0`, `powRN`
+  + definition `poweRD_def`
+  + lemmas `poweRD_defE`, `poweRB_defE`, `add_neq0_poweRD_def`,
+    `add_neq0_poweRB_def`, `nneg_neq0_poweRD_def`, `nneg_neq0_poweRB_def`
+  + lemmas `powR_eq0`, `poweR_eq0`
+
 ### Changed
 
 - moved from `lebesgue_measure.v` to `real_interval.v`:
@@ -49,20 +57,72 @@
 
 - moved from `functions.v` to `classical_sets.v`: `subsetP`.
 
+- in `exp.v`:
+  + lemmas `power_posD` (now `powRD`), `power_posB` (now `powRB`)
+
 ### Renamed
 
 - in `boolp.v`:
   + `mextentionality` -> `mextensionality`
   + `extentionality` -> `extensionality`
+
 - in `exp.v`:
   + `expK` -> `expRK`
 
+- in `exp.v`:
+  + `power_pos_eq0` -> `powR_eq0_eq0`
+  + `power_pos_inv` -> `powR_invn`
+  + `powere_pos_eq0` -> `poweR_eq0_eq0`
+
+- in `exp.v`:
+  + `power_pos` -> `powR`
+  + `power_pos_ge0` -> `powR_ge0`
+  + `power_pos_gt0` -> `powR_gt0`
+  + `gt0_power_pos` -> `gt0_powR`
+  + `power_pos0` -> `powR0`
+  + `power_posr1` -> `powRr1`
+  + `power_posr0` -> `powRr0`
+  + `power_pos1` -> `powR1`
+  + `ler_power_pos` -> `ler_powR`
+  + `gt0_ler_power_pos` -> `gt0_ler_powR`
+  + `power_posM` -> `powRM`
+  + `power_posrM` -> `powRrM`
+  + `power_posAC` -> `powRAC`
+  + `power_posD` -> `powRD`
+  + `power_posN` -> `powRN`
+  + `power_posB` -> `powRB`
+  + `power_pos_mulrn` -> `powR_mulrn`
+  + `power_pos_inv1` -> `powR_inv1`
+  + `power_pos_intmul` -> `powR_intmul`
+  + `ln_power_pos` -> `ln_powR`
+  + `power12_sqrt` -> `powR12_sqrt`
+  + `norm_power_pos` -> `norm_powR`
+  + `lt0_norm_power_pos` -> `lt0_norm_powR`
+
+- in `lebesgue_measure.v`:
+  + `measurable_power_pos` -> `measurable_powR`
+
+- in `exp.v`:
+  + `powere_pos` -> `poweR`
+  + `powere_pos_EFin` -> `poweR_EFin`
+  + `powere_posyr` -> `poweRyr`
+  + `powere_pose0` -> `poweRe0`
+  + `powere_pose1` -> `poweRe1`
+  + `powere_posNyr` -> `poweRNyr`
+  + `powere_pos0r` -> `poweR0r`
+  + `powere_pos1r` -> `poweR1r`
+  + `fine_powere_pos` -> `fine_poweR`
+  + `powere_pos_ge0` -> `poweR_ge0`
+  + `powere_pos_gt0` -> `poweR_gt0`
+  + `powere_posM` -> `poweRM`
+  + `powere12_sqrt` -> `poweR12_sqrt`
+
 ### Generalized
 
 - in `exp.v`:
-  + lemmas `convex_expR`, `ler_power_pos`
+  + lemmas `convex_expR`, `ler_power_pos` (now `ler_powR`)
 - in `exp.v`:
-  + lemma `ln_power_pos`
+  + lemma `ln_power_pos` (now `ln_powR`)
 
 ### Deprecated