Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 ℝcr 11057
ℕcn 12160 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2708 ax-sep 5261 ax-nul 5268 ax-pr 5389 ax-un 7677 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-i2m1 11126 ax-1ne0 11127 ax-rrecex 11130 ax-cnre 11131 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-ral 3066 df-rex 3075 df-reu 3357 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-pss 3934 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-iun 4961 df-br 5111 df-opab 5173 df-mpt 5194 df-tr 5228 df-id 5536 df-eprel 5542 df-po 5550 df-so 5551 df-fr 5593 df-we 5595 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-pred 6258 df-ord 6325 df-on 6326 df-lim 6327 df-suc 6328 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-ov 7365 df-om 7808 df-2nd 7927 df-frecs 8217 df-wrecs 8248 df-recs 8322 df-rdg 8361 df-nn 12161 |
This theorem is referenced by: nnne0i
12200 numlt
12650 numltc
12651 faclbnd4lem1
14200 ef01bndlem
16073 dvdslelem
16198 divalglem6
16287 pockthi
16786 modsubi
16951 prmlem1
16987 prmlem2
16999 strleun
17036 strle1
17037 basendxnplusgndx
17170 tsetndxnbasendx
17244 plendxnbasendx
17258 dsndxnbasendx
17277 unifndxnbasendx
17287 slotsdifunifndx
17289 slotsdifocndx
17306 oppchomfvalOLD
17602 oppcbasOLD
17607 resccoOLD
17724 opprlemOLD
20062 sralemOLD
20655 zlmlemOLD
20934 znbaslemOLD
20958 opsrbaslemOLD
21467 tnglemOLD
24013 log2ublem1
26312 log2ublem2
26313 log2ub
26315 bpos1lem
26646 bposlem8
26655 bposlem9
26656 slotsinbpsd
27425 slotslnbpsd
27426 lngndxnitvndx
27427 ttgvalOLD
27860 ttglemOLD
27862 cchhllemOLD
27878 basendxnedgfndx
27988 structvtxvallem
28013 lmat22e12
32440 lmat22e21
32441 lmat22e22
32442 ballotlem2
33128 ballotlem5
33139 ballotth
33177 chtvalz
33282 hgt750lem
33304 tgoldbachgt
33316 cnndvlem1
35029 hlhilslemOLD
40431 lcmineqlem
40538 3lexlogpow5ineq1
40540 jm2.27dlem2
41363 bgoldbtbndlem1
46071 tgblthelfgott
46081 tgoldbachlt
46082 |