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1 % proof.sty (Proof Figure Macros) |
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2 % |
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3 % version 3.0 (for both LaTeX 2.09 and LaTeX 2e) |
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4 % Mar 6, 1997 |
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5 % Copyright (C) 1990 -- 1997, Makoto Tatsuta (tatsuta@kusm.kyoto-u.ac.jp) |
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6 % |
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7 % This program is free software; you can redistribute it or modify |
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8 % it under the terms of the GNU General Public License as published by |
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9 % the Free Software Foundation; either versions 1, or (at your option) |
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10 % any later version. |
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11 % |
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12 % This program is distributed in the hope that it will be useful |
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13 % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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14 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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15 % GNU General Public License for more details. |
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16 % |
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17 % Usage: |
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18 % In \documentstyle, specify an optional style `proof', say, |
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19 % \documentstyle[proof]{article}. |
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20 % |
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21 % The following macros are available: |
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22 % |
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23 % In all the following macros, all the arguments such as |
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24 % <Lowers> and <Uppers> are processed in math mode. |
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25 % |
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26 % \infer<Lower><Uppers> |
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27 % draws an inference. |
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28 % |
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29 % Use & in <Uppers> to delimit upper formulae. |
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30 % <Uppers> consists more than 0 formulae. |
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31 % |
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32 % \infer returns \hbox{ ... } or \vbox{ ... } and |
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33 % sets \@LeftOffset and \@RightOffset globally. |
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34 % |
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35 % \infer[<Label>]<Lower><Uppers> |
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36 % draws an inference labeled with <Label>. |
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37 % |
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38 % \infer*<Lower><Uppers> |
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39 % draws a many step deduction. |
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40 % |
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41 % \infer*[<Label>]<Lower><Uppers> |
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42 % draws a many step deduction labeled with <Label>. |
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43 % |
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44 % \infer=<Lower><Uppers> |
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45 % draws a double-ruled deduction. |
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46 % |
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47 % \infer=[<Label>]<Lower><Uppers> |
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48 % draws a double-ruled deduction labeled with <Label>. |
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49 % |
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50 % \deduce<Lower><Uppers> |
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51 % draws an inference without a rule. |
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52 % |
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53 % \deduce[<Proof>]<Lower><Uppers> |
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54 % draws a many step deduction with a proof name. |
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55 % |
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56 % Example: |
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57 % If you want to write |
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58 % B C |
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59 % ----- |
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60 % A D |
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61 % ---------- |
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62 % E |
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63 % use |
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64 % \infer{E}{ |
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65 % A |
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66 % & |
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67 % \infer{D}{B & C} |
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68 % } |
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69 % |
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70 |
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71 % Style Parameters |
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72 |
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73 \newdimen\inferLineSkip \inferLineSkip=2pt |
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74 \newdimen\inferLabelSkip \inferLabelSkip=5pt |
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75 \def\inferTabSkip{\quad} |
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76 |
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77 % Variables |
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78 |
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79 \newdimen\@LeftOffset % global |
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80 \newdimen\@RightOffset % global |
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81 \newdimen\@SavedLeftOffset % safe from users |
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82 |
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83 \newdimen\UpperWidth |
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84 \newdimen\LowerWidth |
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85 \newdimen\LowerHeight |
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86 \newdimen\UpperLeftOffset |
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87 \newdimen\UpperRightOffset |
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88 \newdimen\UpperCenter |
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89 \newdimen\LowerCenter |
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90 \newdimen\UpperAdjust |
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91 \newdimen\RuleAdjust |
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92 \newdimen\LowerAdjust |
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93 \newdimen\RuleWidth |
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94 \newdimen\HLabelAdjust |
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95 \newdimen\VLabelAdjust |
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96 \newdimen\WidthAdjust |
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97 |
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98 \newbox\@UpperPart |
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99 \newbox\@LowerPart |
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100 \newbox\@LabelPart |
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101 \newbox\ResultBox |
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102 |
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103 % Flags |
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104 |
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105 \newif\if@inferRule % whether \@infer draws a rule. |
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106 \newif\if@DoubleRule % whether \@infer draws doulbe rules. |
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107 \newif\if@ReturnLeftOffset % whether \@infer returns \@LeftOffset. |
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108 \newif\if@MathSaved % whether inner math mode where \infer or |
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109 % \deduce appears. |
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110 |
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111 % Special Fonts |
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112 |
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113 \def\DeduceSym{\vtop{\baselineskip4\p@ \lineskiplimit\z@ |
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114 \vbox{\hbox{.}\hbox{.}\hbox{.}}\hbox{.}}} |
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115 |
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116 % Math Save Macros |
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117 % |
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118 % \@SaveMath is called in the very begining of toplevel macros |
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119 % which are \infer and \deduce. |
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120 % \@RestoreMath is called in the very last before toplevel macros end. |
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121 % Remark \infer and \deduce ends calling \@infer. |
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122 |
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123 \def\@SaveMath{\@MathSavedfalse \ifmmode \ifinner |
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124 \relax $\relax \@MathSavedtrue \fi\fi } |
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125 |
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126 \def\@RestoreMath{\if@MathSaved \relax $\relax\fi } |
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127 |
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128 % Macros |
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129 |
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130 % Renaming @ifnextchar and @ifnch of LaTeX2e to @IFnextchar and @IFnch. |
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131 |
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132 \def\@IFnextchar#1#2#3{% |
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133 \let\reserved@e=#1\def\reserved@a{#2}\def\reserved@b{#3}\futurelet |
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134 \reserved@c\@IFnch} |
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135 \def\@IFnch{\ifx \reserved@c \@sptoken \let\reserved@d\@xifnch |
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136 \else \ifx \reserved@c \reserved@e\let\reserved@d\reserved@a\else |
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137 \let\reserved@d\reserved@b\fi |
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138 \fi \reserved@d} |
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139 |
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140 \def\@ifEmpty#1#2#3{\def\@tempa{\@empty}\def\@tempb{#1}\relax |
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141 \ifx \@tempa \@tempb #2\else #3\fi } |
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142 |
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143 \def\infer{\@SaveMath \@IFnextchar *{\@inferSteps}{\relax |
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144 \@IFnextchar ={\@inferDoubleRule}{\@inferOneStep}}} |
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145 |
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146 \def\@inferOneStep{\@inferRuletrue \@DoubleRulefalse |
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147 \@IFnextchar [{\@infer}{\@infer[\@empty]}} |
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148 |
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149 \def\@inferDoubleRule={\@inferRuletrue \@DoubleRuletrue |
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150 \@IFnextchar [{\@infer}{\@infer[\@empty]}} |
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151 |
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152 \def\@inferSteps*{\@IFnextchar [{\@@inferSteps}{\@@inferSteps[\@empty]}} |
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153 |
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154 \def\@@inferSteps[#1]{\@deduce{#1}[\DeduceSym]} |
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155 |
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156 \def\deduce{\@SaveMath \@IFnextchar [{\@deduce{\@empty}} |
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157 {\@inferRulefalse \@infer[\@empty]}} |
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158 |
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159 % \@deduce<Proof Label>[<Proof>]<Lower><Uppers> |
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160 |
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161 \def\@deduce#1[#2]#3#4{\@inferRulefalse |
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162 \@infer[\@empty]{#3}{\@SaveMath \@infer[{#1}]{#2}{#4}}} |
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163 |
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164 % \@infer[<Label>]<Lower><Uppers> |
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165 % If \@inferRuletrue, it draws a rule and <Label> is right to |
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166 % a rule. In this case, if \@DoubleRuletrue, it draws |
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167 % double rules. |
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168 % |
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169 % Otherwise, draws no rule and <Label> is right to <Lower>. |
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170 |
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171 \def\@infer[#1]#2#3{\relax |
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172 % Get parameters |
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173 \if@ReturnLeftOffset \else \@SavedLeftOffset=\@LeftOffset \fi |
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174 \setbox\@LabelPart=\hbox{$#1$}\relax |
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175 \setbox\@LowerPart=\hbox{$#2$}\relax |
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176 % |
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177 \global\@LeftOffset=0pt |
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178 \setbox\@UpperPart=\vbox{\tabskip=0pt \halign{\relax |
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179 \global\@RightOffset=0pt \@ReturnLeftOffsettrue $##$&& |
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180 \inferTabSkip |
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181 \global\@RightOffset=0pt \@ReturnLeftOffsetfalse $##$\cr |
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182 #3\cr}}\relax |
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183 % Here is a little trick. |
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184 % \@ReturnLeftOffsettrue(false) influences on \infer or |
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185 % \deduce placed in ## locally |
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186 % because of \@SaveMath and \@RestoreMath. |
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187 \UpperLeftOffset=\@LeftOffset |
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188 \UpperRightOffset=\@RightOffset |
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189 % Calculate Adjustments |
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190 \LowerWidth=\wd\@LowerPart |
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191 \LowerHeight=\ht\@LowerPart |
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192 \LowerCenter=0.5\LowerWidth |
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193 % |
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194 \UpperWidth=\wd\@UpperPart \advance\UpperWidth by -\UpperLeftOffset |
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195 \advance\UpperWidth by -\UpperRightOffset |
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196 \UpperCenter=\UpperLeftOffset |
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197 \advance\UpperCenter by 0.5\UpperWidth |
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198 % |
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199 \ifdim \UpperWidth > \LowerWidth |
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200 % \UpperCenter > \LowerCenter |
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201 \UpperAdjust=0pt |
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202 \RuleAdjust=\UpperLeftOffset |
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203 \LowerAdjust=\UpperCenter \advance\LowerAdjust by -\LowerCenter |
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204 \RuleWidth=\UpperWidth |
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205 \global\@LeftOffset=\LowerAdjust |
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206 % |
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207 \else % \UpperWidth <= \LowerWidth |
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208 \ifdim \UpperCenter > \LowerCenter |
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209 % |
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210 \UpperAdjust=0pt |
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211 \RuleAdjust=\UpperCenter \advance\RuleAdjust by -\LowerCenter |
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212 \LowerAdjust=\RuleAdjust |
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213 \RuleWidth=\LowerWidth |
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214 \global\@LeftOffset=\LowerAdjust |
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215 % |
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216 \else % \UpperWidth <= \LowerWidth |
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217 % \UpperCenter <= \LowerCenter |
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218 % |
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219 \UpperAdjust=\LowerCenter \advance\UpperAdjust by -\UpperCenter |
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220 \RuleAdjust=0pt |
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221 \LowerAdjust=0pt |
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222 \RuleWidth=\LowerWidth |
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223 \global\@LeftOffset=0pt |
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224 % |
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225 \fi\fi |
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226 % Make a box |
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227 \if@inferRule |
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228 % |
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229 \setbox\ResultBox=\vbox{ |
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230 \moveright \UpperAdjust \box\@UpperPart |
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231 \nointerlineskip \kern\inferLineSkip |
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232 \if@DoubleRule |
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233 \moveright \RuleAdjust \vbox{\hrule width\RuleWidth |
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234 \kern 1pt\hrule width\RuleWidth}\relax |
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235 \else |
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236 \moveright \RuleAdjust \vbox{\hrule width\RuleWidth}\relax |
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237 \fi |
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238 \nointerlineskip \kern\inferLineSkip |
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239 \moveright \LowerAdjust \box\@LowerPart }\relax |
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240 % |
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241 \@ifEmpty{#1}{}{\relax |
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242 % |
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243 \HLabelAdjust=\wd\ResultBox \advance\HLabelAdjust by -\RuleAdjust |
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244 \advance\HLabelAdjust by -\RuleWidth |
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245 \WidthAdjust=\HLabelAdjust |
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246 \advance\WidthAdjust by -\inferLabelSkip |
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247 \advance\WidthAdjust by -\wd\@LabelPart |
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248 \ifdim \WidthAdjust < 0pt \WidthAdjust=0pt \fi |
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249 % |
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250 \VLabelAdjust=\dp\@LabelPart |
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251 \advance\VLabelAdjust by -\ht\@LabelPart |
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252 \VLabelAdjust=0.5\VLabelAdjust \advance\VLabelAdjust by \LowerHeight |
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253 \advance\VLabelAdjust by \inferLineSkip |
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254 % |
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255 \setbox\ResultBox=\hbox{\box\ResultBox |
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256 \kern -\HLabelAdjust \kern\inferLabelSkip |
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257 \raise\VLabelAdjust \box\@LabelPart \kern\WidthAdjust}\relax |
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258 % |
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259 }\relax % end @ifEmpty |
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260 % |
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261 \else % \@inferRulefalse |
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262 % |
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263 \setbox\ResultBox=\vbox{ |
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264 \moveright \UpperAdjust \box\@UpperPart |
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265 \nointerlineskip \kern\inferLineSkip |
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266 \moveright \LowerAdjust \hbox{\unhbox\@LowerPart |
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267 \@ifEmpty{#1}{}{\relax |
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268 \kern\inferLabelSkip \unhbox\@LabelPart}}}\relax |
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269 \fi |
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270 % |
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271 \global\@RightOffset=\wd\ResultBox |
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272 \global\advance\@RightOffset by -\@LeftOffset |
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273 \global\advance\@RightOffset by -\LowerWidth |
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274 \if@ReturnLeftOffset \else \global\@LeftOffset=\@SavedLeftOffset \fi |
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275 % |
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276 \box\ResultBox |
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277 \@RestoreMath |
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278 } |