\ProvidesDictionary{translator-theorem-dictionary}{French} \providetranslation{Comments}{Commentaires} \providetranslation{comments}{commentaires} \providetranslation{Comment}{Commentaire} \providetranslation{comment}{commentaire} \providetranslation{Corollaries}{Corollaires} \providetranslation{corollaries}{corollaires} \providetranslation{Corollary}{Corollaire} \providetranslation{corollary}{corollaire} \providetranslation{Definitions}{D\'efinitions} \providetranslation{definitions}{d\'efinitions} \providetranslation{Definition}{D\'efinition} \providetranslation{definition}{d\'efinition} \providetranslation{Examples}{Exemples} \providetranslation{examples}{exemples} \providetranslation{Example}{Exemple} \providetranslation{example}{exemple} \providetranslation{Exercises}{Exercices} \providetranslation{exercises}{exercices} \providetranslation{Exercise}{Exercice} \providetranslation{exercise}{exercice} \providetranslation{Facts}{Faits} \providetranslation{facts}{faits} \providetranslation{Fact}{Fait} \providetranslation{fact}{fait} \providetranslation{Key Lemmas}{Lemmes fondamentaux} \providetranslation{key lemmas}{lemmes fondamentaux} \providetranslation{Key Lemma}{Lemme fondamental} \providetranslation{key lemma}{lemme fondamental} \providetranslation{Key Observations}{Observations d\'ecisives} \providetranslation{key observations}{observations d\'ecisives} \providetranslation{Key Observation}{Observation d\'ecisive} \providetranslation{key observation}{observation d\'ecisive} \providetranslation{Lemmas}{Lemmes} \providetranslation{lemmas}{lemmes} \providetranslation{Lemma}{Lemme} \providetranslation{lemma}{lemme} \providetranslation{Main Theorems}{Th\'eor\`emes Principaux} \providetranslation{main theorems}{th\'eor\`emes principaux} \providetranslation{Main Theorem}{Th\'eor\`eme Principal} \providetranslation{main theorem}{th\'eor\`eme principal} \providetranslation{Observations}{Observations} \providetranslation{observations}{observations} \providetranslation{Observation}{Observation} \providetranslation{observation}{observation} \providetranslation{Problems}{Probl\`emes} \providetranslation{problems}{probl\`emes} \providetranslation{Problem}{Probl\`eme} \providetranslation{problem}{probl\`eme} \providetranslation{Proofs}{D\'emonstrations} \providetranslation{proofs}{d\'emonstrations} \providetranslation{Proof}{D\'emonstration} \providetranslation{proof}{d\'emonstration} \providetranslation{Proof Sketch}{Preuve sch\'ematique} \providetranslation{Proof sketch}{Preuve sch\'ematique} \providetranslation{proof sketch}{preuve sch\'ematique} \providetranslation{Proof Sketches}{Preuve sch\'ematique} \providetranslation{Proof sketches}{Preuve sch\'ematique} \providetranslation{proof sketches}{preuve sch\'ematique} \providetranslation{Sketch of Proof}{Esquisse de preuve} \providetranslation{Sketch of Proofs}{Esquisse de preuves} \providetranslation{Sketch of proof}{Esquisse de preuve} \providetranslation{Sketch of proofs}{Esquisse de preuves} \providetranslation{sketch of proof}{esquisse de preuve} \providetranslation{sketch of proofs}{esquisse de preuves} \providetranslation{Propositions}{Propositions} \providetranslation{propositions}{propositions} \providetranslation{Proposition}{Proposition} \providetranslation{proposition}{proposition} \providetranslation{Remarks}{Remarques} \providetranslation{remarks}{remarques} \providetranslation{Remark}{Remarque} \providetranslation{remark}{remarque} \providetranslation{Solutions}{Solutions} \providetranslation{solutions}{solutions} \providetranslation{Solution}{Solution} \providetranslation{solution}{solution} \providetranslation{Theorems}{Th\'eor\`emes} \providetranslation{theorems}{th\'eor\`emes} \providetranslation{Theorem}{Th\'eor\`eme} \providetranslation{theorem}{th\'eor\`eme}