Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∨ wo 844 = wceq 1533
∈ wcel 2098 class class class wbr 5141
ℝ*cxr 11248
< clt 11249 ≤
cle 11250 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7721 ax-cnex 11165 ax-resscn 11166 ax-pre-lttri 11183 ax-pre-lttrn 11184 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-nel 3041 df-ral 3056 df-rex 3065 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-br 5142 df-opab 5204 df-mpt 5225 df-id 5567 df-po 5581 df-so 5582 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-iota 6488 df-fun 6538 df-fn 6539 df-f 6540 df-f1 6541 df-fo 6542 df-f1o 6543 df-fv 6544 df-er 8702 df-en 8939 df-dom 8940 df-sdom 8941 df-pnf 11251 df-mnf 11252 df-xr 11253 df-ltxr 11254 df-le 11255 |
This theorem is referenced by: xrleidd
13134 xrmax1
13157 xrmax2
13158 xrmin1
13159 xrmin2
13160 xlemul1a
13270 iooid
13355 iccid
13372 icc0
13375 ubioc1
13380 lbico1
13381 lbicc2
13444 ubicc2
13445 snunioc
13460 limsupgord
15420 ledm
18553 lern
18554 letsr
18556 xrsxmet
24676 ismbfd
25519 xraddge02
32474 xrstos
32683 elicc3
35710 xreqle
44581 snunioo1
44778 |