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Some minor corrections
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avekens committed Nov 5, 2023
1 parent 472ed58 commit 5a2599d
Showing 1 changed file with 9 additions and 11 deletions.
20 changes: 9 additions & 11 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -71710,11 +71710,9 @@ Axiom of Replacement (unlike ~ resfunexg ). (Contributed by NM,
$( The function value of an indexed union is the value of one of the
indexed functions. (Contributed by AV, 4-Nov-2023.) $)
fviunfun $p |- ( ( Fun U /\ J e. I /\ X e. dom ( F ` J ) )
-> ( U_ i e. I ( F ` i ) ` X ) = ( ( F ` J ) ` X ) ) $=
( wfun wcel cfv cdm w3a cv ciun wss wceq funeqi biimpi 3ad2ant1 fveq2
ssiun2s 3ad2ant2 simp3 funssfv syl3anc ) AHZEDIZFECJZKIZLBDBMZCJZNZHZUHUL
OZUIFULJFUHJPUFUGUMUIUFUMAULGQRSUGUFUNUIBDUKEUHUJECTUAUBUFUGUIUCFULUHUDUE
$.
-> ( U ` X ) = ( ( F ` J ) ` X ) ) $=
( wcel wfun cfv wss cdm wceq ciun fveq2 ssiun2s syl6sseqr funssfv syl3an2
cv ) EDHZAIECJZAKFUBLHFAJFUBJMUAUBBDBTZCJZNABDUDEUBUCECOPGQFAUBRS $.
$}

${
Expand Down Expand Up @@ -506998,7 +506996,7 @@ codes is an increasing chain (with respect to inclusion). (Contributed

${
$d M a i $. $d V a i $. $d X a x y $.
$( The simplyfied satisfaction predicate for wff codes of height 0.
$( The simplified satisfaction predicate for wff codes of height 0.
(Contributed by AV, 4-Nov-2023.) $)
satefvfmla0 $p |- ( ( M e. V /\ X e. ( Fmla ` (/) ) )
-> ( M SatE X ) = { a e. ( M ^m _om ) |
Expand Down Expand Up @@ -507028,8 +507026,8 @@ codes is an increasing chain (with respect to inclusion). (Contributed

${
$d A a b x $. $d B a b x $. $d M a $. $d S a $. $d V a $.
satefv.s $e |- E = ( M SatE ( A e.g B ) ) $.
$( Characterization of a valuation ` S ` of a simplyfied satisfaction
sategoelfvb.s $e |- E = ( M SatE ( A e.g B ) ) $.
$( Characterization of a valuation ` S ` of a simplified satisfaction
predicate for a Godel-set of membership. (Contributed by AV,
5-Nov-2023.) $)
sategoelfvb $p |- ( ( M e. V /\ ( A e. _om /\ B e. _om ) )
Expand All @@ -507050,7 +507048,7 @@ codes is an increasing chain (with respect to inclusion). (Contributed
OPXSVSABVTWAZWBABKKWCVMWDTWKWTBCWKWTYOMNZBWKWQYOMYQTWKYSXSMNBYOXSMYRWBABK
KWEVMWDTVRUQWFWG $.

$( Condition of a valuation ` S ` of a simplyfied satisfaction predicate
$( Condition of a valuation ` S ` of a simplified satisfaction predicate
for a Godel-set of membership: The sets in model ` M ` corresponding to
the variables ` A ` and ` B ` under the assignment of ` S ` are in a
membership relation in ` M ` . (Contributed by AV, 5-Nov-2023.) $)
Expand All @@ -507062,7 +507060,7 @@ codes is an increasing chain (with respect to inclusion). (Contributed
$d M x $. $d Z x $.
sategoelelxmpl.s $e |- S = ( x e. _om
|-> if ( x = A , Z , if ( x = B , ~P Z , (/) ) ) ) $.
$( Example of a valuation of a simplyfied satisfaction predicate for a
$( Example of a valuation of a simplified satisfaction predicate for a
Godel-set of membership. (Contributed by AV, 5-Nov-2023.) $)
sategoelelxmpl $p |- ( ( ( M e. WUni /\ Z e. M )
/\ ( A e. _om /\ B e. _om /\ A =/= B ) ) -> S e. E ) $=
Expand All @@ -507079,7 +507077,7 @@ codes is an increasing chain (with respect to inclusion). (Contributed
HSKWIWEXGWSOSWDWSSKWCGFVTTOSKWEVLUOQRVBXGWSOCVMVNVOVPWEWCWFWGLWKWLWOLWAWI
XDWFWGWHVQBCDEFJHVRVSWB $.

$( Instance of ~ sategoelfv for the example of a valuation of a simplyfied
$( Instance of ~ sategoelfv for the example of a valuation of a simplified
satisfaction predicate for a Godel-set of membership. (Contributed by
AV, 5-Nov-2023.) $)
sategoelxmpl $p |- ( ( ( M e. WUni /\ Z e. M )
Expand Down

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