Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 (class class class)co 7362
ℝcr 11057 1c1 11059
+ caddc 11061 7c7 12220
8c8 12221 |
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 2708 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-i2m1 11126 ax-1ne0 11127 ax-rrecex 11130 ax-cnre 11131 |
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 2715 df-cleq 2729 df-clel 2815 df-ne 2945 df-ral 3066 df-rex 3075 df-rab 3411 df-v 3450 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-iota 6453 df-fv 6509 df-ov 7365 df-2 12223 df-3 12224
df-4 12225 df-5 12226
df-6 12227 df-7 12228
df-8 12229 |
This theorem is referenced by: 9re
12259 9pos
12273 6lt8
12353 5lt8
12354 4lt8
12355 3lt8
12356 2lt8
12357 1lt8
12358 8lt9
12359 7lt9
12360 8th4div3
12380 8lt10
12757 7lt10
12758 ef01bndlem
16073 cos2bnd
16077 slotstnscsi
17248 slotsdnscsi
17280 sralemOLD
20655 chtub
26576 bposlem8
26655 bposlem9
26656 lgsdir2lem1
26689 lgsdir2lem4
26692 lgsdir2lem5
26693 2lgsoddprmlem1
26772 2lgsoddprmlem2
26773 chebbnd1lem2
26834 chebbnd1lem3
26835 chebbnd1
26836 pntlemf
26969 cchhllemOLD
27878 hgt750lem
33304 hgt750lem2
33305 hgt750leme
33311 lcmineqlem23
40537 lcmineqlem
40538 3lexlogpow5ineq2
40541 aks4d1p1
40562 resqrtvalex
41991 imsqrtvalex
41992 fmtnoprmfac2lem1
45832 mod42tp1mod8
45868 nnsum3primesle9
46060 nnsum4primesoddALTV
46063 nnsum4primesevenALTV
46067 bgoldbtbndlem1
46071 tgoldbach
46083 |