Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 394
∨ wo 843 ∈ wcel 2104
class class class wbr 5147 ℝcr 11111
≤ cle 11253 |
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 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 ax-resscn 11169 ax-pre-lttri 11186 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 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 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-br 5148 df-opab 5210 df-mpt 5231 df-id 5573 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-er 8705 df-en 8942 df-dom 8943 df-sdom 8944 df-pnf 11254 df-mnf 11255 df-xr 11256 df-ltxr 11257 df-le 11258 |
This theorem is referenced by: wloglei
11750 nn2ge
12243 max0sub
13179 leabs
15250 max0add
15261 limsupgre
15429 ntrivcvgmul
15852 1arithlem4
16863 mndodcong
19451 metustto
24282 reconn
24564 dyaddisj
25345 volcn
25355 ditgcl
25607 ditgswap
25608 ditgsplit
25610 dvfsumlem3
25780 ftc2ditg
25798 coseq0negpitopi
26249 asinlem3
26612 atanlogaddlem
26654 atanlogadd
26655 ppiub
26943 dchrisum0
27259 pntrmax
27303 padicabv
27369 nacsfix
41752 acongrep
42021 hbt
42174 fzunt1d
42510 |