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conventions minor edit
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benjub committed Jan 21, 2024
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Expand Up @@ -422688,7 +422688,7 @@ All axiomatic assertions ($a statements)
is that we use the
regular "ax-NAME" label naming convention to define the axiom,
but we precede it with a proof of the same statement with the label
"axNAME" . An example is complex arithmetic axiom ~ ax-1cn ,
"axNAME" . An example is the complex arithmetic axiom ~ ax-1cn ,
proven by the preceding theorem ~ ax1cn .
The Metamath program will warn if an axiom does not match the preceding
theorem that justifies it if the names match in this way.
Expand All @@ -422698,15 +422698,16 @@ All axiomatic assertions ($a statements)
We encourage definitions to include hypertext links to proven examples.
</li>

<li><b>Statements with hypotheses.</b> Many theorems and some axioms,
such as ~ ax-mp , have hypotheses that must be satisfied in order for
the conclusion to hold, in this case min and maj. When presented in
summarized form such as in the Theorem List (click on "Nearby theorems"
on the ~ ax-mp page), the hypotheses are connected with an ampersand and
separated from the conclusion with a big arrow, such as in " ` |- ph `
&amp; ` |- ( ph -> ps ) ` =&gt; ` |- ps ` ". These symbols are _not_
part of the Metamath language but are just informal notation meaning
"and" and "implies".
<li><b>Statements with hypotheses.</b>
Many theorems and some axioms, such as ~ ax-mp , have hypotheses that
must be satisfied in order for the conclusion to hold, in this case min
and maj. When displayed in summarized form such as in the "Theorem
List" page (to get to it, click on "Nearby theorems" on the ~ ax-mp
page), the hypotheses are connected with an ampersand and separated from
the conclusion with a double right arrow, such as in
" ` |- ph & |- ( ph -> ps ) => |- ps ` ". These symbols are not part of
the Metamath language but are just informal notation meaning "and" and
"implies".
</li>

<li><b>Discouraged use and modification.</b>
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