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typing: fix inference rule for orthogonal merge

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regnat 2017-04-04 09:42:16 +02:00
parent 70dd7ff090
commit dd2b96102f
1 changed files with 6 additions and 2 deletions
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typing/records.tex
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@ -18,9 +18,11 @@
\newcommand{\quasiconst}{\twoheadrightarrow}
\DeclareMathOperator\dom{dom}
\newcommand{\orthsum}{\oplus^\bot}
\newcommand{\subtype}{\leq}
\newcommand{\Γ}{\Gamma}
\newcommand{\τ}{\tau}
\newcommand{\σ}{\sigma}
\title{Typing of records in nix}
\author{Théophane Hufschmitt}
@ -151,9 +153,11 @@ is syntactic sugar for
}
\and
\inferrule{%
\Γ \vdash e_1 : \τ_1 \\ \Γ \vdash e_2 : \τ_2 \\ \τ_1 \orthsum_\undef \τ_2
\Γ \vdash e_1 : \τ_1 \\ \Γ \vdash e_2 : \τ_2 \\%
\τ_1 \subtype \σ_1 \\ \τ_2 \subtype \σ_2 \\
\\ \σ_1 \orthsum_\undef \σ_2
}{%
\Γ \vdash e_1 \orthsum_\undef e_2 : \τ_1 \orthsum_\undef \τ_2
\Γ \vdash e_1 \orthsum_\undef e_2 : \σ_1 \orthsum_\undef \σ_2
}
\end{mathpar}