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Spell out anonymous function notation

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Daniel Hillerström
2021-05-30 20:10:16 +01:00
parent 6c6d8e2aba
commit f80becc368
1 changed files with 4 additions and 1 deletions
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thesis.tex
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@@ -2325,7 +2325,10 @@ synonymous.
For a function $f : A \to B$ (or partial function $f : A \pto B$) we For a function $f : A \to B$ (or partial function $f : A \pto B$) we
write $f(a) = b$ to mean $(a, b) \in f$, and say that $f$ applied to write $f(a) = b$ to mean $(a, b) \in f$, and say that $f$ applied to
$a$ returns $b$. The notation $f(a)$ means the application of $f$ to $a$ returns $b$. We write $f(P) \defas M$ for the definition of a
function with pattern $P$ and expression $M$, and sometimes we will
use the anonymous notation $P \mapsto M$ to mean $f(P) \defas M$ for
some fresh $f$. The notation $f(a)$ means the application of $f$ to
$a$, and we say that $f(a)$ is defined whenever $f(a) = b$ for some $a$, and we say that $f(a)$ is defined whenever $f(a) = b$ for some
$b$. $b$.
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