Colors of
variables: wff
setvar class |
Syntax hints: class class
class wbr 5148 (class class class)co 7408
1c1 11110 + caddc 11112 < clt 11247
3c3 12267 4c4 12268 |
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 2703 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7724 ax-resscn 11166 ax-1cn 11167 ax-icn 11168 ax-addcl 11169 ax-addrcl 11170 ax-mulcl 11171 ax-mulrcl 11172 ax-mulcom 11173 ax-addass 11174 ax-mulass 11175 ax-distr 11176 ax-i2m1 11177 ax-1ne0 11178 ax-1rid 11179 ax-rnegex 11180 ax-rrecex 11181 ax-cnre 11182 ax-pre-lttri 11183 ax-pre-lttrn 11184 ax-pre-ltadd 11185 ax-pre-mulgt0 11186 |
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 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ne 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-reu 3377 df-rab 3433 df-v 3476 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-po 5588 df-so 5589 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-riota 7364 df-ov 7411 df-oprab 7412 df-mpo 7413 df-er 8702 df-en 8939 df-dom 8940 df-sdom 8941 df-pnf 11249 df-mnf 11250 df-xr 11251 df-ltxr 11252 df-le 11253 df-sub 11445 df-neg 11446 df-2 12274
df-3 12275 df-4 12276 |
This theorem is referenced by: 2lt4
12386 3lt5
12389 3lt6
12394 3lt7
12400 3lt8
12407 3lt9
12415 3halfnz
12640 3lt10
12813 fz0to4untppr
13603 fldiv4p1lem1div2
13799 bpoly4
16002 ef01bndlem
16126 sin01bnd
16127 flodddiv4
16355 starvndxnmulrndx
17250 srngstr
17253 cnfldfunALTOLD
20957 dveflem
25495 tangtx
26014 ppiublem1
26702 bpos1
26783 bposlem2
26785 gausslemma2dlem4
26869 2lgslem3b
26897 2lgslem3d
26899 chebbnd1lem2
26970 chebbnd1lem3
26971 chebbnd1
26972 pntlemb
27097 usgrexmplef
28513 upgr4cycl4dv4e
29435 ex-fl
29697 hlhilsmulOLD
40811 aks4d1p1p7
40934 aks4d1p1p5
40935 stoweidlem26
44732 stoweid
44769 mod42tp1mod8
46260 nnsum4primes4
46447 nnsum4primesprm
46449 nnsum4primesgbe
46451 nnsum4primesle9
46453 nnsum4primeseven
46458 nnsum4primesevenALTV
46459 wtgoldbnnsum4prm
46460 ackval42
47372 |