Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 class class class wbr 5149
ℝcr 11109 0cc0 11110
+∞cpnf 11245 <
clt 11248 |
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-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-cnex 11166 ax-1cn 11168 ax-addrcl 11171 ax-rnegex 11181 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-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-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-xp 5683 df-pnf 11250 df-xr 11252 df-ltxr 11253 |
This theorem is referenced by: xmulgt0
13262 reltxrnmnf
13321 hashneq0
14324 hashge2el2dif
14441 sgnpnf
15040 pnfnei
22724 0bdop
31246 xlt2addrd
31971 xnn0gt0
31982 xrge0mulc1cn
32921 pnfneige0
32931 lmxrge0
32932 mbfposadd
36535 ftc1anclem5
36565 fourierdlem111
44933 fouriersw
44947 |