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Mirrors > Home > ILE Home > Th. List > sumeq1i | Unicode version |
Description: Equality inference for sum. (Contributed by NM, 2-Jan-2006.) |
Ref | Expression |
---|---|
sumeq1i.1 |
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Ref | Expression |
---|---|
sumeq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sumeq1i.1 |
. 2
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2 | sumeq1 11362 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-dc 835 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2739 df-un 3133 df-in 3135 df-ss 3142 df-if 3535 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4004 df-opab 4065 df-mpt 4066 df-cnv 4634 df-dm 4636 df-rn 4637 df-res 4638 df-iota 5178 df-f 5220 df-f1 5221 df-fo 5222 df-f1o 5223 df-fv 5224 df-ov 5877 df-oprab 5878 df-mpo 5879 df-recs 6305 df-frec 6391 df-seqfrec 10445 df-sumdc 11361 |
This theorem is referenced by: sumeq12i 11372 fsump1i 11440 fsum2d 11442 fsumxp 11443 isumnn0nn 11500 arisum 11505 arisum2 11506 geo2sum 11521 efsep 11698 ef4p 11701 dveflem 14123 |
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