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Revise proof of isumss in iset.mm
Use zsumdc in place of zisum .
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-25
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2 files changed

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iset-discouraged

Lines changed: 1 addition & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -277,7 +277,6 @@
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"strnfvn" is used by "strsl0".
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"zisum" is used by "fisumsers".
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"zisum" is used by "iisum".
280-
"zisum" is used by "isumss".
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New usage of "0cnALT" is discouraged (0 uses).
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New usage of "0reALT" is discouraged (0 uses).
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New usage of "19.21h" is discouraged (3 uses).
@@ -448,7 +447,7 @@ New usage of "strnfvn" is discouraged (3 uses).
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New usage of "tfri1dALT" is discouraged (0 uses).
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New usage of "uzind4ALT" is discouraged (0 uses).
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New usage of "xpexgALT" is discouraged (0 uses).
451-
New usage of "zisum" is discouraged (3 uses).
450+
New usage of "zisum" is discouraged (2 uses).
452451
Proof modification of "0cnALT" is discouraged (49 steps).
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Proof modification of "0reALT" is discouraged (15 steps).
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Proof modification of "a9evsep" is discouraged (63 steps).

iset.mm

Lines changed: 23 additions & 23 deletions
Original file line numberDiff line numberDiff line change
@@ -115732,31 +115732,31 @@ seq m ( + , ( n e. ZZ |-> if ( n e. A , [_ n / k ]_ B , 0 ) ) )
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(Contributed by Mario Carneiro, 21-Apr-2014.) (Revised by Jim
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Kingdon, 21-Sep-2022.) $)
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isumss $p |- ( ph -> sum_ k e. A C = sum_ k e. B C ) $=
115735-
( vm cc wcel cc0 wa wceq cv cmpt cfv csu caddc cuz cif cseq4 eqid sstrd
115736-
cli csb simpr wral ralrimiva ad2antrr nfcsb1v nfel1 csbeq1a eleq1d rspc
115737-
sylc wn 0cnd wdc eleq1w dcbid adantr rspcdva ifcldadc nfcv nfv ifbieq1d
115738-
nfif fvmptf syl2anc fvmpts ifeq1dadc eqtr4d fmpttd ffvelrnda zisum elin
115735+
( vm wcel cc0 wa cc wceq cmpt cfv csu caddc cuz cif cseq cli eqid sstrd
115736+
cv simpr wral ralrimiva ad2antrr nfcsb1v nfel1 csbeq1a eleq1d rspc sylc
115737+
csb wn 0cnd wdc eleq1w dcbid adantr rspcdva ifcldadc nfcv nfif ifbieq1d
115738+
nfv fvmptf syl2anc fvmpts ifeq1dadc eqtr4d fmpttd ffvelrnda zsumdc elin
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cin wss dfss1 sylib eleq2d syl5rbbr ifbid simplr adantlr iftrued eldifd
115740115740
wb cdif ad3antrrr nfeq1 eqeq1d eqeltrd iffalsed 3eqtr4d wo syl mpjaodan
115741-
exmiddc ifandc simpll sselda sumfct 3eqtr3d ) ABOUAZFBDUBZUCZOUDZCXLFCD
115742-
UBZUCZOUDZBDFUDZCDFUDZAXOUEPFGUFUCZFUAZBQZDRUGZUBZGUHUKUCXRAEBXNOYEGYAY
115743-
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115744-
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115745-
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115746-
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115747-
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115748-
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115749-
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115750-
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115751-
TZYHUUMYJWKYHYJYQUUMUUCWLFXLDCXPPXPUIVQZVPUUTYJYKRUUSYJUMWMVSUUSUUDSZYK
115752-
RXQYLUVCXLCBWPZQDRTZFUVDUNZYKRTZUVCXLCBYHUUMUUDWKZUUSUUDUMZWNAUVFYGUUMU
115753-
UDAUVEFUVDJUOWQUVEUVGFXLUVDFYKRYTWRUUADYKRUUBWSVAVBZUVCUUMYQUVAUVHUVCYK
115754-
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115755-
CQZVEZUUMVEZEYAXLUUIUVKUUMEOCVFVGAUVLEYAUNYGNVHYMVIZVRYHUVMUUOUURTUVNUU
115756-
MYJYKRXGXDVSXBNACPXLXPAFCDPAYBCQZSZYCYOYCVCZAYCYOUVOIWLUVPUVQSZDRPUVRAY
115757-
BUVDQUVEAUVOUVQXHUVRYBCBAUVOUVQWKUVPUVQUMWNJVPUVRVDWTUVPYCVEZYCUVQXCUVP
115758-
UUGUVSEYAYBUUEYBTUUFYCEFBVFVGAUUJUVOKVHACYAYBMXIVIYCXFXDXEZVTWAWBVSAYPX
115759-
OXSTYSBDOFXJXDAYOFCUNXRXTTAYOFCUVTUOCDOFXJXDXK $.
115741+
exmiddc ifandc simpll sselda sumfct 3eqtr3d ) ABOUKZFBDUAZUBZOUCZCXLFCD
115742+
UAZUBZOUCZBDFUCZCDFUCZAXOUDFGUEUBZFUKZBPZDQUFZUAZGUGUHUBXRAEBXNOYEGYAYA
115743+
UIZLABCYAHMUJAXLYAPZRZXLYEUBZXLBPZFXLDVBZQUFZYJXNQUFYHYGYLSPYIYLTAYGULZ
115744+
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115745+
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115746+
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115747+
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115748+
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115749+
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115750+
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115751+
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115752+
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115753+
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115754+
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115755+
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115756+
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115757+
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115758+
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115759+
XSTYSBDOFXJXDAYOFCUMXRXTTAYOFCUVTUNCDOFXJXDXK $.
115760115760
$}
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$}
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