Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2106 (class class class)co 7349
1c1 10985 + caddc 10987 ℕcn 12086
6c6 12145 7c7 12146 |
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-pr 5382 ax-un 7662 ax-1cn 11042 |
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-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-nn 12087 df-2 12149
df-3 12150 df-4 12151
df-5 12152 df-6 12153
df-7 12154 |
This theorem is referenced by: 8nn
12181 7nn0
12368 7prm
16917 17prm
16923 prmlem2
16926 37prm
16927 43prm
16928 83prm
16929 139prm
16930 163prm
16931 317prm
16932 631prm
16933 1259prm
16942 mcubic
26119 cubic2
26120 cubic
26121 quartlem1
26129 quartlem2
26130 log2ublem1
26218 log2ublem2
26219 log2ub
26221 lgsdir2lem3
26597 lngndx
27178 lngid
27180 slotslnbpsd
27182 lngndxnitvndx
27183 ttgvalOLD
27616 ttglemOLD
27618 eengstr
27727 ex-xp
29178 ex-mod
29191 ex-prmo
29201 hgt750lem2
33038 60gcd7e1
40357 60lcm7e420
40362 lcm7un
40371 lcmineqlem
40404 3lexlogpow5ineq2
40407 3lexlogpow2ineq1
40410 3lexlogpow2ineq2
40411 rmydioph
41203 expdiophlem2
41211 257prm
45502 fmtno5nprm
45524 139prmALT
45537 127prm
45540 8exp8mod9
45677 nnsum3primesle9
45735 bgoldbtbndlem1
45746 tgoldbach
45758 |