Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2099 (class class class)co 7414
0cc0 11132 1c1 11133
+ caddc 11135 ℕcn 12236 9c9 12298
;cdc 12701 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5293 ax-nul 5300 ax-pow 5359 ax-pr 5423 ax-un 7734 ax-resscn 11189 ax-1cn 11190 ax-icn 11191 ax-addcl 11192 ax-addrcl 11193 ax-mulcl 11194 ax-mulrcl 11195 ax-mulcom 11196 ax-addass 11197 ax-mulass 11198 ax-distr 11199 ax-i2m1 11200 ax-1ne0 11201 ax-1rid 11202 ax-rnegex 11203 ax-rrecex 11204 ax-cnre 11205 ax-pre-lttri 11206 ax-pre-lttrn 11207 ax-pre-ltadd 11208 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2937 df-nel 3043 df-ral 3058 df-rex 3067 df-reu 3373 df-rab 3429 df-v 3472 df-sbc 3776 df-csb 3891 df-dif 3948 df-un 3950 df-in 3952 df-ss 3962 df-pss 3964 df-nul 4319 df-if 4525 df-pw 4600 df-sn 4625 df-pr 4627 df-op 4631 df-uni 4904 df-iun 4993 df-br 5143 df-opab 5205 df-mpt 5226 df-tr 5260 df-id 5570 df-eprel 5576 df-po 5584 df-so 5585 df-fr 5627 df-we 5629 df-xp 5678 df-rel 5679 df-cnv 5680 df-co 5681 df-dm 5682 df-rn 5683 df-res 5684 df-ima 5685 df-pred 6299 df-ord 6366 df-on 6367 df-lim 6368 df-suc 6369 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-ov 7417 df-om 7865 df-2nd 7988 df-frecs 8280 df-wrecs 8311 df-recs 8385 df-rdg 8424 df-er 8718 df-en 8958 df-dom 8959 df-sdom 8960 df-pnf 11274 df-mnf 11275 df-ltxr 11277 df-nn 12237 df-2 12299
df-3 12300 df-4 12301
df-5 12302 df-6 12303
df-7 12304 df-8 12305
df-9 12306 df-dec 12702 |
This theorem is referenced by: 10pos
12718 decnncl2
12725 declt
12729 decltc
12730 declti
12739 dec10p
12744 3dec
14251 3dvds
16301 163prm
17087 631prm
17089 plendx
17340 pleid
17341 plendxnn
17342 otpsstr
17350 odrngstr
17377 imasvalstr
17426 isposixOLD
18311 ipostr
18514 cnfldstr
21274 cnfldstrOLD
21289 bclbnd
27206 ex-prmo
30262 rpdp2cl
32599 dp2ltsuc
32603 dpmul10
32612 decdiv10
32613 dpmul100
32614 dp3mul10
32615 dpadd2
32627 dpadd
32628 dpadd3
32629 dpmul
32630 dpmul4
32631 oppgleOLD
32682 idlsrgstr
33207 hgt750lem
34277 tgoldbachgt
34289 60gcd6e6
41469 aks4d1p1p7
41539 rmydioph
42429 1t10e1p1e11
46684 257prm
46895 127prm
46933 3exp4mod41
46950 41prothprmlem1
46951 bgoldbtbndlem1
47139 bgoldbachlt
47147 tgblthelfgott
47149 tgoldbachlt
47150 |