Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 class class class wbr 5106
ℝcr 11051 0cc0 11052
-∞cmnf 11188 <
clt 11190 |
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-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-cnex 11108 ax-1cn 11110 ax-addrcl 11113 ax-rnegex 11123 ax-cnre 11125 |
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-ral 3066 df-rex 3075 df-rab 3409 df-v 3448 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-xp 5640 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 |
This theorem is referenced by: ge0gtmnf
13092 xsubge0
13181 sgnmnf
14981 leordtval2
22566 mnfnei
22575 ovolicopnf
24891 voliunlem3
24919 volsup
24923 volivth
24974 itg2seq
25110 itg2monolem2
25119 deg1lt0
25459 plypf1
25576 xrge00
31880 dvasin
36165 hbtlem5
41458 xrge0nemnfd
43573 xrpnf
43728 fourierdlem87
44441 fouriersw
44479 gsumge0cl
44619 sge0pr
44642 sge0ssre
44645 |