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% \newtheorem{theorem}{Theorem}
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% \newtheorem{lemma}{Lemma}
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% \newtheorem{conjecture}{Conjecture}
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% \newtheorem{proposition}{Proposition}
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% \newtheorem{corollary}{Corollary}
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\newtheorem*{lemma}{Lemma}
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\newtheorem{Lemma}{Lemma}
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\newtheorem*{proposition}{Proposition}
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\newtheorem{Proposition}{Proposition}
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\newtheorem*{theorem}{Theorem}
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\newtheorem{Theorem}{Theorem}
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\newtheorem*{conjecture}{Conjecture}
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\newtheorem{Conjecture}{Conjecture}
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\newtheorem*{corollary}{Corollary}
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\newtheorem{Corollary}[Lemma]{Corollary}
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\theoremstyle{remark}
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\newtheorem*{remark}{Remark}
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\newtheorem{Remark}{Remark}
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\newtheorem*{remarks}{Remarks}
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\theoremstyle{definition}
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\newtheorem*{definition}{Definition}
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\newtheorem{Definition}{Definition}
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\newtheorem*{example}{Example}
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\newtheorem{Example}{Example}
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\newtheorem{Question}{Question}
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\newtheorem{Questions}[Question]{Questions}
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%% add any other theorem environments you will used
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