Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∨ wo 846 = wceq 1534
∈ wcel 2099 class class class wbr 5148
ℝ*cxr 11278
< clt 11279 ≤
cle 11280 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-cnex 11195 ax-resscn 11196 ax-pre-lttri 11213 ax-pre-lttrn 11214 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-po 5590 df-so 5591 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-er 8725 df-en 8965 df-dom 8966 df-sdom 8967 df-pnf 11281 df-mnf 11282 df-xr 11283 df-ltxr 11284 df-le 11285 |
This theorem is referenced by: xrleidd
13164 xrmax1
13187 xrmax2
13188 xrmin1
13189 xrmin2
13190 xlemul1a
13300 iooid
13385 iccid
13402 icc0
13405 ubioc1
13410 lbico1
13411 lbicc2
13474 ubicc2
13475 snunioc
13490 limsupgord
15449 ledm
18582 lern
18583 letsr
18585 xrsxmet
24738 ismbfd
25581 xraddge02
32539 xrstos
32750 elicc3
35801 xreqle
44700 snunioo1
44897 |