Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 394
∈ wcel 2104 ifcif 4529
class class class wbr 5149 ℝcr 11113
ℝ*cxr 11253
≤ cle 11255 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7729 ax-cnex 11170 ax-resscn 11171 ax-pre-lttri 11188 ax-pre-lttrn 11189 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-rab 3431 df-v 3474 df-sbc 3779 df-csb 3895 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-mpt 5233 df-id 5575 df-po 5589 df-so 5590 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-er 8707 df-en 8944 df-dom 8945 df-sdom 8946 df-pnf 11256 df-mnf 11257 df-xr 11258 df-ltxr 11259 df-le 11260 |
This theorem is referenced by: ssfzunsnext
13552 reccn2
15547 ssblex
24156 nlmvscnlem1
24425 nrginvrcnlem
24430 icccmplem2
24561 xlebnum
24713 ipcnlem1
24995 ivthlem2
25203 ovolicc2lem5
25272 ioombl1lem1
25309 mbfi1fseqlem4
25470 mbfi1fseqlem5
25471 aalioulem5
26083 aalioulem6
26084 cxpcn3lem
26489 ftalem5
26815 chtdif
26896 ppidif
26901 chebbnd1lem1
27206 itg2addnc
36847 min2d
44483 mullimc
44632 mullimcf
44639 limcleqr
44660 addlimc
44664 0ellimcdiv
44665 limclner
44667 stoweidlem5
45021 fourierdlem104
45226 ioorrnopnlem
45320 hoidmv1lelem2
45608 smfmullem1
45807 |