X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/cours-maths-dis.git/blobdiff_plain/a0ee5c712b5f4b3e908e2d16da8ff24d414f5f1e..381385111635a5d15f8bd60d6666f6c0f6a61bcc:/main13.thm?ds=sidebyside

diff --git a/main13.thm b/main13.thm
index 3a5d32c..28bfbdc 100644
--- a/main13.thm
+++ b/main13.thm
@@ -128,37 +128,30 @@
 \contentsline {Def}{{Définition}{4.{1}}{Relation binaire}}{30}{Def.1}
 \contentsline {Exo}{{Exercice}{4.{1}}{}}{30}{Exo.1}
 \contentsline {Rem}{{Remarque}{4.{1}}{}}{30}{Rem.1}
-\contentsline {Exo}{{Exercice}{4.{2}}{}}{30}{Exo.2}
 \contentsline {Def}{{Définition}{4.{2}}{Réflexivité}}{30}{Def.2}
 \contentsline {Def}{{Définition}{4.{3}}{Antisymétrie}}{30}{Def.3}
-\contentsline {Def}{{Définition}{4.{4}}{Transitivité}}{31}{Def.4}
+\contentsline {Def}{{Définition}{4.{4}}{Transitivité}}{30}{Def.4}
+\contentsline {Exo}{{Exercice}{4.{2}}{}}{30}{Exo.2}
 \contentsline {Exo}{{Exercice}{4.{3}}{}}{31}{Exo.3}
-\contentsline {Exo}{{Exercice}{4.{4}}{}}{31}{Exo.4}
-\contentsline {Exo}{{Exercice}{4.{5}}{}}{31}{Exo.5}
 \contentsline {Def}{{Définition}{4.{5}}{Relation d'ordre}}{31}{Def.5}
-\contentsline {Ex}{{Exemple}{4.{6}}{}}{31}{Exo.6}
-\contentsline {Ex}{{Exemple}{4.{7}}{Relation de divisibilité}}{31}{Exo.7}
-\contentsline {Exo}{{Exercice}{4.{8}}{}}{31}{Exo.8}
-\contentsline {Exo}{{Exercice}{4.{9}}{Diagrammes de transitivité}}{31}{Exo.9}
-\contentsline {Def}{{Définition}{4.{6}}{Relation symétrique}}{32}{Def.6}
-\contentsline {Def}{{Définition}{4.{7}}{Relation d'équivalence}}{32}{Def.7}
-\contentsline {Ex}{{Exemple}{4.{10}}{}}{32}{Exo.10}
-\contentsline {Ex}{{Exemple}{4.{11}}{Relation de congruence modulo $n$ dans $\Z $}}{32}{Exo.11}
-\contentsline {Exo}{{Exercice}{4.{12}}{}}{32}{Exo.12}
+\contentsline {Ex}{{Exemple}{4.{4}}{}}{31}{Exo.4}
+\contentsline {Ex}{{Exemple}{4.{5}}{Relation de divisibilité}}{31}{Exo.5}
+\contentsline {Exo}{{Exercice}{4.{6}}{}}{31}{Exo.6}
+\contentsline {Exo}{{Exercice}{4.{7}}{Diagrammes de transitivité}}{31}{Exo.7}
+\contentsline {Def}{{Définition}{4.{6}}{Relation symétrique}}{31}{Def.6}
+\contentsline {Def}{{Définition}{4.{7}}{Relation d'équivalence}}{31}{Def.7}
+\contentsline {Ex}{{Exemple}{4.{8}}{}}{31}{Exo.8}
+\contentsline {Ex}{{Exemple}{4.{9}}{Relation de congruence modulo $n$ dans $\Z $}}{32}{Exo.9}
+\contentsline {Exo}{{Exercice}{4.{10}}{}}{32}{Exo.10}
 \contentsline {Def}{{Définition}{4.{8}}{Classe d'équivalence}}{32}{Def.8}
 \contentsline {Notation}{{Notation}{4.{1}}{}}{32}{Notation.1}
-\contentsline {Exo}{{Exercice}{4.{13}}{}}{32}{Exo.13}
-\contentsline {Exo}{{Exercice}{4.{14}}{}}{32}{Exo.14}
-\contentsline {Th}{{Propriété}{4.{1}}{}}{33}{Th.1}
-\contentsline {Rem}{{Remarque}{4.{2}}{}}{33}{Rem.2}
-\contentsline {Pre}{{Preuve}{1}{}}{33}{Pre.1}
-\contentsline {Def}{{Définition}{4.{9}}{Partition d'un ensemble}}{33}{Def.9}
+\contentsline {Exo}{{Exercice}{4.{11}}{}}{32}{Exo.11}
+\contentsline {Exo}{{Exercice}{4.{12}}{}}{32}{Exo.12}
+\contentsline {Th}{{Propriété}{4.{1}}{}}{32}{Th.1}
+\contentsline {Pre}{{Preuve}{1}{}}{32}{Pre.1}
+\contentsline {Def}{{Définition}{4.{9}}{Partition d'un ensemble}}{32}{Def.9}
 \contentsline {Th}{{Propriété}{4.{2}}{}}{33}{Th.2}
 \contentsline {Pre}{{Preuve}{2}{}}{33}{Pre.2}
-\contentsline {Ex}{{Exemple}{4.{15}}{}}{33}{Exo.15}
-\contentsline {Exo}{{Exercice}{4.{16}}{}}{33}{Exo.16}
-\contentsline {Exo}{{Exercice}{4.{17}}{Une relation d'équivalence}}{33}{Exo.17}
-\contentsline {Exo}{{Exercice}{4.{18}}{}}{33}{Exo.18}
-\contentsline {Def}{{Définition}{4.{10}}{Ensemble-quotient}}{34}{Def.10}
-\contentsline {Notation}{{Notation}{4.{2}}{}}{34}{Notation.2}
-\contentsline {Ex}{{Exemple}{4.{19}}{Congruence modulo 4}}{34}{Exo.19}
+\contentsline {Ex}{{Exemple}{4.{13}}{}}{33}{Exo.13}
+\contentsline {Exo}{{Exercice}{4.{14}}{}}{33}{Exo.14}
+\contentsline {Exo}{{Exercice}{4.{15}}{}}{33}{Exo.15}