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| author | Matej Kosik | 2015-10-29 15:44:25 +0100 |
|---|---|---|
| committer | Hugo Herbelin | 2015-12-10 09:35:10 +0100 |
| commit | e31bc1fc036969454a5577758444b91174209b5c (patch) | |
| tree | 297147d53ac17a036c7154eb2fc8b98105351696 | |
| parent | e13fed125d22e58e39487a3aa227416e1f2ba329 (diff) | |
TYPOGRAPHY: Each of the three 'Ax' and 'Prod' rules now has a unique name.
| -rw-r--r-- | doc/refman/RefMan-cic.tex | 12 |
1 files changed, 8 insertions, 4 deletions
diff --git a/doc/refman/RefMan-cic.tex b/doc/refman/RefMan-cic.tex index 22cec45cc2..db26568c5a 100644 --- a/doc/refman/RefMan-cic.tex +++ b/doc/refman/RefMan-cic.tex @@ -317,21 +317,25 @@ be derived from the following rules. % whereas enrichment of the global environment is denoted with ; % Is it necessary to use two different notations? % Couldn't we use ∷ also for enrichment of the global context? -\item[Ax] \index{Typing rules!Ax} -\inference{\frac{\WFE{\Gamma}}{\WTEG{\Prop}{\Type(1)}}~~~~~ -\frac{\WFE{\Gamma}}{\WTEG{\Set}{\Type(1)}}} +\item[Ax-Prop] \index{Typing rules!Ax-Prop} +\inference{\frac{\WFE{\Gamma}}{\WTEG{\Prop}{\Type(1)}}} +\item[Ax-Set] \index{Typing rules!Ax-Set} +\inference{\frac{\WFE{\Gamma}}{\WTEG{\Set}{\Type(1)}}} +\item[Ax-Type] \index{Typing rules!Ax-Type} \inference{\frac{\WFE{\Gamma}}{\WTEG{\Type(i)}{\Type(i+1)}}} \item[Var]\index{Typing rules!Var} \inference{\frac{ \WFE{\Gamma}~~~~~(x:T) \in \Gamma~~\mbox{or}~~(x:=t:T) \in \Gamma~\mbox{for some $t$}}{\WTEG{x}{T}}} \item[Const] \index{Typing rules!Const} \inference{\frac{\WFE{\Gamma}~~~~(c:T) \in E~~\mbox{or}~~(c:=t:T) \in E~\mbox{for some $t$} }{\WTEG{c}{T}}} -\item[Prod] \index{Typing rules!Prod} +\item[Prod-Prop] \index{Typing rules!Prod-Prop} \inference{\frac{\WTEG{T}{s}~~~~s \in \Sort~~~ \WTE{\Gamma::(x:T)}{U}{\Prop}} { \WTEG{\forall~x:T,U}{\Prop}}} +\item[Prod-Set] \index{Typing rules!Prod-Set} \inference{\frac{\WTEG{T}{s}~~~~s \in\{\Prop, \Set\}~~~~~~ \WTE{\Gamma::(x:T)}{U}{\Set}} { \WTEG{\forall~x:T,U}{\Set}}} +\item[Prod-Type] \index{Typing rules!Prod-Type} \inference{\frac{\WTEG{T}{\Type(i)}~~~~ \WTE{\Gamma::(x:T)}{U}{\Type(i)}} {\WTEG{\forall~x:T,U}{\Type(i)}}} |
