Colors of
variables: wff set class |
Syntax hints:
⊆ wss 3130 ‘cfv 5217
ℤcz 9253 ℤ≥cuz 9528 |
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-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-14 2151 ax-ext 2159 ax-sep 4122 ax-pow 4175 ax-pr 4210 ax-cnex 7902 ax-resscn 7903 |
This theorem depends on definitions:
df-bi 117 df-3or 979 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2740 df-sbc 2964 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-br 4005 df-opab 4066 df-mpt 4067 df-id 4294 df-xp 4633 df-rel 4634 df-cnv 4635 df-co 4636 df-dm 4637 df-rn 4638 df-res 4639 df-ima 4640 df-iota 5179 df-fun 5219 df-fn 5220 df-f 5221 df-fv 5225 df-ov 5878 df-neg 8131 df-z 9254 df-uz 9529 |
This theorem is referenced by: cau3
11124 climz
11300 serclim0
11313 climaddc1
11337 climmulc2
11339 climsubc1
11340 climsubc2
11341 climle
11342 climlec2
11349 summodclem2a
11389 summodclem2
11390 zsumdc
11392 fsum3cvg3
11404 iserabs
11483 isumshft
11498 explecnv
11513 clim2prod
11547 prodfclim1
11552 ntrivcvgap
11556 prodmodclem2a
11584 prodmodclem2
11585 zproddc
11587 infssuzcldc
11952 zsupssdc
11955 exmidunben
12427 lmbrf
13718 lmres
13751 climcncf
14074 2sqlem6
14470 |