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Merge branch '1.11-inclusive' of https://github.com/ThePuzzlemaker/Ho…
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andrejbauer committed Apr 13, 2022
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Expand Up @@ -1360,7 +1360,7 @@ \section{Propositions as types}
\end{equation}
so we should be able to translate the above proof into an element of this type.

As an example of how such a translation works, let us describe how a mathematician reading the above English proof might simultaneously construct, in his or her head, an element of~\eqref{eq:tautology2}.
As an example of how such a translation works, let us describe how a mathematician reading the English proof above might mentally construct an element of~\eqref{eq:tautology2}.
The introductory phrase ``Suppose not $A$ and not $B$'' translates into defining a function, with an implicit application of the recursion principle for the cartesian product in its domain $(A\to\emptyt)\times (B\to\emptyt)$.
This introduces unnamed variables
\index{variable}%
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