| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2107 (class class class)co 7409
ℝcr 11109 1c1 11111
+ caddc 11113 7c7 12272
8c8 12273 |
| 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-ext 2704 ax-1cn 11168 ax-icn 11169 ax-addcl 11170 ax-addrcl 11171 ax-mulcl 11172 ax-mulrcl 11173 ax-i2m1 11178 ax-1ne0 11179 ax-rrecex 11182 ax-cnre 11183 |
| This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 df-ne 2942 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-iota 6496 df-fv 6552 df-ov 7412 df-2 12275 df-3 12276
df-4 12277 df-5 12278
df-6 12279 df-7 12280
df-8 12281 |
| This theorem is referenced by: 9re
12311 9pos
12325 6lt8
12405 5lt8
12406 4lt8
12407 3lt8
12408 2lt8
12409 1lt8
12410 8lt9
12411 7lt9
12412 8th4div3
12432 8lt10
12809 7lt10
12810 ef01bndlem
16127 cos2bnd
16131 slotstnscsi
17305 slotsdnscsi
17337 sralemOLD
20791 chtub
26715 bposlem8
26794 bposlem9
26795 lgsdir2lem1
26828 lgsdir2lem4
26831 lgsdir2lem5
26832 2lgsoddprmlem1
26911 2lgsoddprmlem2
26912 chebbnd1lem2
26973 chebbnd1lem3
26974 chebbnd1
26975 pntlemf
27108 cchhllemOLD
28145 hgt750lem
33663 hgt750lem2
33664 hgt750leme
33670 lcmineqlem23
40916 lcmineqlem
40917 3lexlogpow5ineq2
40920 aks4d1p1
40941 resqrtvalex
42396 imsqrtvalex
42397 fmtnoprmfac2lem1
46234 mod42tp1mod8
46270 nnsum3primesle9
46462 nnsum4primesoddALTV
46465 nnsum4primesevenALTV
46469 bgoldbtbndlem1
46473 tgoldbach
46485 |
