@@ -115899,13 +115899,30 @@ seq m ( + , ( n e. ZZ |-> if ( n e. A , [_ n / k ]_ B , 0 ) ) )
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WFWNYBSXNYCXTYDWNYBEVMWNYBWQVMWGVAVCXLTPUBOZTPVEXLYFUDWHTPAXLYFWIWJWKZAGW
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SWRYGWLWM $.
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+ ${
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+ $d A j k $. $d B j $. $d F j k $. $d M j k $. $d M k $. $d N k $.
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+ $d j k ph $.
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+
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+ $( Special case of series sum over a finite upper integer index set.
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+ (Contributed by Mario Carneiro, 26-Jul-2013.) (Revised by Jim
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+ Kingdon, 5-May-2023.) $)
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+ fsumsersdc $p |- ( ph -> sum_ k e. A B = ( seq M ( + , F ) ` N ) ) $=
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+ ( vj cli cfv wcel cv wdc wral cc csu caddc cseq cuz eqid cz eluzel2 syl
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+ cfz co fzssuz syl6ss ralrimiva weq eleq1w dcbid cbvralv zsumdc wfun wbr
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+ sylib wceq cdm wf fclim ffun ax-mp fsum3cvg2 funbrfv mpsyl eqtrd ) ABCD
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+ UAUBEFUCZNOZGVLOZAMBCDEFFUDOZVOUEAGVOPFUFPIFGUGUHABFGUIUJVOLFGUKULHADQB
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+ PZRZDVOSMQBPZRZMVOSAVQDVOKUMVQVSDMVODMUNVPVRDMBUOUPUQVAJURNUSZAVLVNNUTV
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+ MVNVBNVCZTNVDVTVEWATNVFVGABCDEFGHIJKLVHVLVNNVIVJVK $.
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+ $}
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+
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${
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$d A j k $. $d B j $. $d F j k $. $d M j k $. $d M k $. $d N k $.
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$d j k ph $.
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$( Special case of series sum over a finite upper integer index set.
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(Contributed by Mario Carneiro, 26-Jul-2013.) (Revised by Mario
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- Carneiro, 21-Apr-2014.) $)
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+ Carneiro, 21-Apr-2014.) Use ~ fsumsersdc instead.
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+ (New usage is discouraged.) $)
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fisumsers $p |- ( ph -> sum_ k e. A B = ( seq M ( + , F , CC ) ` N ) ) $=
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( vj cc cli cfv wcel cv wdc wral csu caddc cseq4 cuz cz eluzel2 syl cfz
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eqid co fzssuz syl6ss ralrimiva weq eleq1w dcbid cbvralv sylib wfun wbr
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