Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1541 ∈ wcel 2106
(class class class)co 7349 0cc0 10984
+ caddc 10987 ℕ0cn0 12346 ;cdc 12550 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2708 ax-sep 5254 ax-nul 5261 ax-pow 5318 ax-pr 5382 ax-un 7662 ax-resscn 11041 ax-1cn 11042 ax-icn 11043 ax-addcl 11044 ax-addrcl 11045 ax-mulcl 11046 ax-mulrcl 11047 ax-mulcom 11048 ax-addass 11049 ax-mulass 11050 ax-distr 11051 ax-i2m1 11052 ax-1ne0 11053 ax-1rid 11054 ax-rnegex 11055 ax-rrecex 11056 ax-cnre 11057 ax-pre-lttri 11058 ax-pre-lttrn 11059 ax-pre-ltadd 11060 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2887 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-reu 3352 df-rab 3406 df-v 3445 df-sbc 3738 df-csb 3854 df-dif 3911 df-un 3913 df-in 3915 df-ss 3925 df-pss 3927 df-nul 4281 df-if 4485 df-pw 4560 df-sn 4585 df-pr 4587 df-op 4591 df-uni 4864 df-iun 4954 df-br 5104 df-opab 5166 df-mpt 5187 df-tr 5221 df-id 5528 df-eprel 5534 df-po 5542 df-so 5543 df-fr 5585 df-we 5587 df-xp 5636 df-rel 5637 df-cnv 5638 df-co 5639 df-dm 5640 df-rn 5641 df-res 5642 df-ima 5643 df-pred 6249 df-ord 6316 df-on 6317 df-lim 6318 df-suc 6319 df-iota 6443 df-fun 6493 df-fn 6494 df-f 6495 df-f1 6496 df-fo 6497 df-f1o 6498 df-fv 6499 df-ov 7352 df-om 7793 df-2nd 7912 df-frecs 8179 df-wrecs 8210 df-recs 8284 df-rdg 8323 df-er 8581 df-en 8817 df-dom 8818 df-sdom 8819 df-pnf 11124 df-mnf 11125 df-ltxr 11127 df-nn 12087 df-2 12149
df-3 12150 df-4 12151
df-5 12152 df-6 12153
df-7 12154 df-8 12155
df-9 12156 df-n0 12347 df-dec 12551 |
This theorem is referenced by: 4t4e16
12649 6t3e18
12655 7t4e28
12661 7t7e49
12664 2exp11
16896 2exp16
16897 17prm
16923 23prm
16925 prmlem2
16926 37prm
16927 83prm
16929 139prm
16930 163prm
16931 317prm
16932 631prm
16933 1259lem1
16937 1259lem2
16938 1259lem3
16939 1259lem4
16940 1259lem5
16941 1259prm
16942 2503lem1
16943 2503lem2
16944 2503lem3
16945 4001lem1
16947 4001lem2
16948 4001lem4
16950 4001prm
16951 log2ublem3
26220 log2ub
26221 birthday
26226 ex-fac
29193 hgt750lem2
33038 60lcm7e420
40362 420lcm8e840
40363 3exp7
40405 3lexlogpow5ineq1
40406 3lexlogpow5ineq5
40412 aks4d1p1p5
40427 decaddcom
40666 sqn5i
40667 sqdeccom12
40671 sq3deccom12
40672 235t711
40673 ex-decpmul
40674 resqrtvalex
41679 imsqrtvalex
41680 fmtno5lem1
45494 fmtno5lem2
45495 fmtno5lem4
45497 257prm
45502 fmtno4prmfac
45513 fmtno4nprmfac193
45515 fmtno5faclem1
45520 fmtno5faclem2
45521 fmtno5faclem3
45522 139prmALT
45537 127prm
45540 11t31e341
45673 ackval3012
46527 ackval41a
46529 |