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Add zilcmi.
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MostAwesomeDude committed Sep 19, 2024
1 parent a1a727a commit 9e40498
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46 changes: 42 additions & 4 deletions mm/jbobau.mm
Original file line number Diff line number Diff line change
Expand Up @@ -221,6 +221,7 @@
htmldef "selbri" as "<span class='lujvo'>selbri</span> ";
htmldef "selcmi" as "<span class='lujvo'>selcmi</span> ";
htmldef "le" as "<span class='gadri'>le</span> ";
htmldef "ku" as "<small>ku</small> ";
$)
$(
Expand Down Expand Up @@ -2243,17 +2244,17 @@
=-=-=
$)

$c le nomei $.
$c le nomei ku $.

snomei $a sumti le nomei $.
snomei $a sumti le nomei ku $.

$( {` le nomei `} is the empty set. Literally it is the set with zero
cardinality. By standard folklore of sets, it is unique up to isomorphism,
justifying {` le `}. $)
df-nomei $a |- naku zo'u ko'a cmima le nomei $.
df-nomei $a |- naku zo'u ko'a cmima le nomei ku $.

${
nomei-gaiho.0 $e |- ko'a cmima le nomei $.
nomei-gaiho.0 $e |- ko'a cmima le nomei ku $.
$( If the empty set is inhabited, then there is a contradiction.
(Contributed by la korvo, 16-May-2024.) $)
nomei-gaiho $p |- gai'o $=
Expand Down Expand Up @@ -3141,6 +3142,43 @@
ceihi-nf $p |- na'a'u da zo'u cei'i $=
( bceihi ceihi nfth ) BACD $.

$(
#*#*#
Sets II: {zilcmi}
#*#*#
$)

$(
=-=-=
{zilcmi}
=-=-=
$)

$c zilcmi $.

sbzilcmi $a selbri zilcmi $.

$( {` zilcmi `} is lujvo for {` se cmima zi'o `}. The effect is to include
{` le nomei `} as a valid set, forming a predicate of possibly-inhabited
sets. $)
df-zilcmi $a |- go ko'a zilcmi gi
ga ko'a du le nomei ku gi su'o da zo'u da cmima ko'a $.

$( The empty set is a set.
(Contributed by la korvo, 19-Sep-2024.) $)
zilcmi-nomei $p |- le nomei ku zilcmi $=
( wda snomei sbdu bb sbcmima bsd bga sbzilcmi du-refl ga-lin df-zilcmi bi-rev
bu ax-mp ) BBCDZABEDZAPFZGZBHMORBIOQJNBAKL $.

${
cmima-zilcmi.0 $e |- su'o da zo'u da cmima ko'a $.
$( Forget the inhabitant of a set.
(Contributed by la korvo, 19-Sep-2024.) $)
cmima-zilcmi $p |- ko'a zilcmi $=
( snomei sbdu bb sbcmima bsd bga sbzilcmi ga-rin ax-mp df-zilcmi bi-rev
bu ) ADEFZBAGFZBQHZIZAJORSCRPKLABMN $.
$}

$(
#*#*#
Relative clauses I: {poi}, {ke'a}, {ku'o}
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3 changes: 2 additions & 1 deletion valsi-class.json
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Expand Up @@ -39,5 +39,6 @@
"pamei": "lujvo",
"selbri": "lujvo",
"selcmi": "lujvo",
"skaselbri": "lujvo"
"skaselbri": "lujvo",
"zilcmi": "lujvo"
}

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