/usr/share/lyx/layouts/theorems-ams.inc is in lyx-common 2.2.2-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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# Probably broken by Jean-Marc Lasgouttes <Jean-Marc.Lasgouttes@inria.fr>
# modified and modularized by Emmanuel GUREGHIAN <gureghia@boston.bertin.fr>
# Tinkered with Sep. '07 by Paul Rubin <rubin@msu.edu>
# Modularized Jan 08 by Richard Heck <rgheck@comcast.net>
# The environments defined are :
# - Theorem
# - Corollary
# - Lemma
# - Proposition
# - Conjecture
# - Definition
# - Example
# - Problem
# - Exercise
# - Solution
# - Remark
# - Claim
# - Proof
# - Case (by inclusion)
Format 60
OutlinerName thm "Definitions & Theorems"
Style Theorem
Category Reasoning
Margin First_Dynamic
LatexType Environment
LatexName thm
NextNoIndent 1
ResetArgs 1
AddToToc thm
IsTocCaption 1
Argument 1
LabelString "Additional Theorem Text"
Tooltip "Additional text appended to the theorem header"
IsTocCaption 1
EndArgument
LabelSep xx
ParIndent MMM
ParSkip 0.4
ItemSep 0.2
TopSep 0.7
BottomSep 0.7
ParSep 0.3
Align Block
AlignPossible Left
LabelType Static
LabelCounter theorem
LabelString "Theorem \thetheorem."
Font
Shape Italic
Size Normal
EndFont
LabelFont
Shape Up
Series Bold
EndFont
Preamble
\theoremstyle{plain}
\newtheorem{thm}{\protect\theoremname}
EndPreamble
LangPreamble
\providecommand{\theoremname}{_(Theorem)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\theoremname}{_(Theorem)}}
EndBabelPreamble
Requires amsthm
End
Style Corollary
CopyStyle Theorem
DependsOn Theorem
LatexName cor
LabelString "Corollary \thetheorem."
Preamble
\theoremstyle{plain}
\newtheorem{cor}[thm]{\protect\corollaryname}
EndPreamble
LangPreamble
\providecommand{\corollaryname}{_(Corollary)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\corollaryname}{_(Corollary)}}
EndBabelPreamble
End
Style Lemma
CopyStyle Theorem
DependsOn Theorem
LatexName lem
LabelString "Lemma \thetheorem."
Preamble
\theoremstyle{plain}
\newtheorem{lem}[thm]{\protect\lemmaname}
EndPreamble
LangPreamble
\providecommand{\lemmaname}{_(Lemma)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\lemmaname}{_(Lemma)}}
EndBabelPreamble
End
Style Proposition
CopyStyle Theorem
DependsOn Theorem
LatexName prop
LabelString "Proposition \thetheorem."
Preamble
\theoremstyle{plain}
\newtheorem{prop}[thm]{\protect\propositionname}
EndPreamble
LangPreamble
\providecommand{\propositionname}{_(Proposition)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\propositionname}{_(Proposition)}}
EndBabelPreamble
End
Style Conjecture
CopyStyle Theorem
DependsOn Theorem
LatexName conjecture
LabelString "Conjecture \thetheorem."
Preamble
\theoremstyle{plain}
\newtheorem{conjecture}[thm]{\protect\conjecturename}
EndPreamble
LangPreamble
\providecommand{\conjecturename}{_(Conjecture)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\conjecturename}{_(Conjecture)}}
EndBabelPreamble
End
Style Fact
CopyStyle Theorem
DependsOn Theorem
LatexName fact
LabelString "Fact \thetheorem."
Preamble
\theoremstyle{plain}
\newtheorem{fact}[thm]{\protect\factname}
EndPreamble
LangPreamble
\providecommand{\factname}{_(Fact)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\factname}{_(Fact)}}
EndBabelPreamble
End
Style Definition
CopyStyle Theorem
DependsOn Theorem
LatexName defn
LabelString "Definition \thetheorem."
Font
Shape Up
EndFont
LabelFont
Shape Up
Series Bold
EndFont
Preamble
\theoremstyle{definition}
\newtheorem{defn}[thm]{\protect\definitionname}
EndPreamble
LangPreamble
\providecommand{\definitionname}{_(Definition)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\definitionname}{_(Definition)}}
EndBabelPreamble
End
Style Example
CopyStyle Definition
LatexName example
LabelString "Example \thetheorem."
Preamble
\theoremstyle{definition}
\newtheorem{example}[thm]{\protect\examplename}
EndPreamble
LangPreamble
\providecommand{\examplename}{_(Example)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\examplename}{_(Example)}}
EndBabelPreamble
End
Style Problem
CopyStyle Definition
LatexName problem
LabelString "Problem \thetheorem."
Preamble
\theoremstyle{definition}
\newtheorem{problem}[thm]{\protect\problemname}
EndPreamble
LangPreamble
\providecommand{\problemname}{_(Problem)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\problemname}{_(Problem)}}
EndBabelPreamble
End
Style Exercise
CopyStyle Definition
LatexName xca
LabelString "Exercise \thetheorem."
Preamble
\theoremstyle{definition}
\newtheorem{xca}[thm]{\protect\exercisename}
EndPreamble
LangPreamble
\providecommand{\exercisename}{_(Exercise)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\exercisename}{_(Exercise)}}
EndBabelPreamble
End
Style Solution
CopyStyle Definition
LatexName sol
LabelString "Solution \thetheorem."
Preamble
\theoremstyle{definition}
\newtheorem{sol}[thm]{\protect\solutionname}
EndPreamble
LangPreamble
\providecommand{\solutionname}{_(Solution)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\solutionname}{_(Solution)}}
EndBabelPreamble
End
Style Remark
CopyStyle Theorem
DependsOn Theorem
LatexName rem
LabelString "Remark \thetheorem."
Font
Shape Up
Size Normal
EndFont
LabelFont
Series Medium
Shape Italic
EndFont
Preamble
\theoremstyle{remark}
\newtheorem{rem}[thm]{\protect\remarkname}
EndPreamble
LangPreamble
\providecommand{\remarkname}{_(Remark)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\remarkname}{_(Remark)}}
EndBabelPreamble
End
Style Claim
CopyStyle Remark
LatexName claim
LabelString "Claim \thetheorem."
Preamble
\theoremstyle{remark}
\newtheorem{claim}[thm]{\protect\claimname}
EndPreamble
LangPreamble
\providecommand{\claimname}{_(Claim)}
EndLangPreamble
BabelPreamble
\addto\captions$$lang{\renewcommand{\claimname}{_(Claim)}}
EndBabelPreamble
End
Input theorems-case.inc
Input theorems-refprefix.inc
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