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Minimization and Discouraged pass for August-October roll-up.
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arpie-steele committed Nov 2, 2020
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1 change: 1 addition & 0 deletions discouraged
Original file line number Diff line number Diff line change
Expand Up @@ -20619,6 +20619,7 @@ Proof modification of "toycom" is discouraged (142 steps).
Proof modification of "tpid3gVD" is discouraged (116 steps).
Proof modification of "tratrb" is discouraged (318 steps).
Proof modification of "tratrbVD" is discouraged (395 steps).
Proof modification of "trcleq2lemRP" is discouraged (32 steps).
Proof modification of "trelded" is discouraged (27 steps).
Proof modification of "trintALT" is discouraged (166 steps).
Proof modification of "trintALTVD" is discouraged (211 steps).
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47 changes: 24 additions & 23 deletions set.mm
Original file line number Diff line number Diff line change
Expand Up @@ -607173,13 +607173,13 @@ and the class of all sets ( ~ inex1g ) .
$( If two classes have the finite intersection property, then so does their
intersection. (Contributed by Richard Penner, 1-Jan-2020.) $)
fiinfi $p |- ( ph -> A. x e. C A. y e. C ( x i^i y ) e. C ) $=
( cv cin wcel wral sseli imim1i ralimi2 imim12i syl ralbidv mpbird sylibr
wa inss1 inss2 r19.26-2 sylanbrc elin 2ralbii eleq2d raleqdv ) ABJZCJZKZF
LZCFMZBFMUOBDEKZMZAUQUNCUPMZBUPMZAUSUMUPLZCUPMZBUPMZAUMDLZUMELZUBZCUPMBUP
MZVBAVCCUPMZBUPMZVDCUPMZBUPMZVFAVCCDMZBDMVHGVKVGBDUPUKUPLZUKDLVKVGUPDUKDE
UCZNVCVCCDUPULUPLZULDLVCUPDULVMNOPQPRAVDCEMZBEMVJHVOVIBEUPVLUKELVOVIUPEUK
DEUDZNVDVDCEUPVNULELVDUPEULVPNOPQPRVCVDBCUPUPUEUFUTVEBCUPUPUMDEUGUHUAAURV
ABUPAUNUTCUPAFUPUMIUISSTAUOURBUPAUNCFUPIUJSTAUOBFUPIUJT $.
( cv cin wcel wral elinel1 imim1i ralimi2 imim12i syl ralbidv mpbird elin
wa elinel2 r19.26-2 sylanbrc 2ralbii sylibr eleq2d raleqdv ) ABJZCJZKZFLZ
CFMZBFMUNBDEKZMZAUPUMCUOMZBUOMZAURULUOLZCUOMZBUOMZAULDLZULELZUBZCUOMBUOMZ
VAAVBCUOMZBUOMZVCCUOMZBUOMZVEAVBCDMZBDMVGGVJVFBDUOUJUOLZUJDLVJVFUJDENVBVB
CDUOUKUOLZUKDLVBUKDENOPQPRAVCCEMZBEMVIHVMVHBEUOVKUJELVMVHUJDEUCVCVCCEUOVL
UKELVCUKDEUCOPQPRVBVCBCUOUOUDUEUSVDBCUOUOULDEUAUFUGAUQUTBUOAUMUSCUOAFUOUL
IUHSSTAUNUQBUOAUMCFUOIUISTAUNBFUOIUIT $.
$}

$(
Expand Down Expand Up @@ -607624,21 +607624,21 @@ and the class of all sets ( ~ inex1g ) .
( vz cid wss wa wbr wi wal weq wex df-br bicomi 2albii bitri albii 3bitri
wcel cdm crn cun cres cv resundi sseq1i unss cop wrel wb relres ssrel vex
ax-mp ideq bitr3i eldm anbi12i opelres 19.42v 3bitr4i 19.23v alcom impexp
imbi12i ancomst 19.21v equcom imbi1i nfv breq2 equsal imbi2i elrn 3bitr2i
alrot3 19.26-2 pm4.76 ) FCUAZCUBZUCUDZDGFVTUDZFWAUDZUCZDGWCDGZWDDGZHZAUEZ
BUEZCIZWIWIDIZWJWJDIZHJZBKAKZWBWEDFVTWAUFUGWCWDDUHWHWKWLJZBKZAKZWKWMJZBKA
KZHWPWSHZBKAKWOWFWRWGWTWFWIEUEZUIZWCTZXCDTZJZEKAKZAELZWKHZBMZWIXBDIZJZEKA
KZWRWCUJWFXGUKFVTULAEWCDUMUOXFXLAEXDXJXEXKXCFTZWIVTTZHXHWKBMZHXDXJXNXHXOX
PXNWIXBFIXHWIXBFNWIXBEUNZUPUQBWICAUNURUSWIXBFVTXQUTXHWKBVAVBXKXEWIXBDNOVF
PXMXIXKJZBKZEKZAKWRXLXSAEXSXLXIXKBVCOPXTWQAXTXREKZBKWQXREBVDYAWPBYAWKXHXK
JZJZEKWKYBEKZJWPXRYCEXRWKXHHXKJYCXHWKXKVGWKXHXKVEQRWKYBEVHYDWLWKYDEALZXKJ
ZEKWLYBYFEXHYEXKAEVIVJRXKWLEAWLEVKXBWIWIDVLVMQVNSRQRQSWGWJXBUIZWDTZYGDTZJ
ZEKBKZBELZWKHZAMZWJXBDIZJZEKBKZWTWDUJWGYKUKFWAULBEWDDUMUOYJYPBEYHYNYIYOYG
FTZWJWATZHYLWKAMZHYHYNYRYLYSYTYRWJXBFIYLWJXBFNWJXBXQUPUQAWJCBUNVOUSWJXBFW
AXQUTYLWKAVAVBYOYIWJXBDNOVFPYQYMYOJZAKZEKBKUUAEKZBKAKWTYPUUBBEUUBYPYMYOAV
COPUUAABEVQUUCWSABUUCWKYLYOJZJZEKWKUUDEKZJWSUUAUUEEUUAWKYLHYOJUUEYLWKYOVG
WKYLYOVEQRWKUUDEVHUUFWMWKUUFEBLZYOJZEKWMUUDUUHEYLUUGYOBEVIVJRYOWMEBWMEVKX
BWJWJDVLVMQVNSPVPSUSWPWSABVRXAWNABWKWLWMVSPVPVP $.
imbi12i ancomst 19.21v equcom imbi1i breq2 equsalvw imbi2i alrot3 3bitr2i
elrn 19.26-2 pm4.76 ) FCUAZCUBZUCUDZDGFVSUDZFVTUDZUCZDGWBDGZWCDGZHZAUEZBU
EZCIZWHWHDIZWIWIDIZHJZBKAKZWAWDDFVSVTUFUGWBWCDUHWGWJWKJZBKZAKZWJWLJZBKAKZ
HWOWRHZBKAKWNWEWQWFWSWEWHEUEZUIZWBTZXBDTZJZEKAKZAELZWJHZBMZWHXADIZJZEKAKZ
WQWBUJWEXFUKFVSULAEWBDUMUOXEXKAEXCXIXDXJXBFTZWHVSTZHXGWJBMZHXCXIXMXGXNXOX
MWHXAFIXGWHXAFNWHXAEUNZUPUQBWHCAUNURUSWHXAFVSXPUTXGWJBVAVBXJXDWHXADNOVFPX
LXHXJJZBKZEKZAKWQXKXRAEXRXKXHXJBVCOPXSWPAXSXQEKZBKWPXQEBVDXTWOBXTWJXGXJJZ
JZEKWJYAEKZJWOXQYBEXQWJXGHXJJYBXGWJXJVGWJXGXJVEQRWJYAEVHYCWKWJYCEALZXJJZE
KWKYAYEEXGYDXJAEVIVJRXJWKEAXAWHWHDVKVLQVMSRQRQSWFWIXAUIZWCTZYFDTZJZEKBKZB
ELZWJHZAMZWIXADIZJZEKBKZWSWCUJWFYJUKFVTULBEWCDUMUOYIYOBEYGYMYHYNYFFTZWIVT
TZHYKWJAMZHYGYMYQYKYRYSYQWIXAFIYKWIXAFNWIXAXPUPUQAWICBUNVPUSWIXAFVTXPUTYK
WJAVAVBYNYHWIXADNOVFPYPYLYNJZAKZEKBKYTEKZBKAKWSYOUUABEUUAYOYLYNAVCOPYTABE
VNUUBWRABUUBWJYKYNJZJZEKWJUUCEKZJWRYTUUDEYTWJYKHYNJUUDYKWJYNVGWJYKYNVEQRW
JUUCEVHUUEWLWJUUEEBLZYNJZEKWLUUCUUGEYKUUFYNBEVIVJRYNWLEBXAWIWIDVKVLQVMSPV
OSUSWOWRABVQWTWMABWJWKWLVRPVOVO $.
$}

${
Expand Down Expand Up @@ -608141,7 +608141,8 @@ and the class of all sets ( ~ inex1g ) .
-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
$)

$( Equality implies bijection. (Contributed by RP, 5-May-2020.) $)
$( Equality implies bijection. (Contributed by RP, 5-May-2020.)
(Proof modification is discouraged.) $)
trcleq2lemRP $p |- ( A = B -> ( ( R C_ A /\ ( A o. A ) C_ A ) <->
( R C_ B /\ ( B o. B ) C_ B ) ) ) $=
( ccom wss wceq id coeq12d sseq12d cleq2lem ) AADZAEBBDZBEABCABFZKLABMABABM
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