Colors of
variables: wff
setvar class |
Syntax hints:
β wi 4 β§ wa 394
β wcel 2104 (class class class)co 7411
β*cxr 11251
+π cxad 13094 |
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-cnex 11168 ax-1cn 11170 ax-addrcl 11173 ax-rnegex 11183 ax-cnre 11185 |
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-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-iun 4998 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-fv 6550 df-ov 7414 df-oprab 7415 df-mpo 7416 df-1st 7977 df-2nd 7978 df-pnf 11254 df-mnf 11255 df-xr 11256 df-xadd 13097 |
This theorem is referenced by: xaddass
13232 xaddass2
13233 xleadd1a
13236 xleadd1
13238 xltadd1
13239 xaddge0
13241 xle2add
13242 xlt2add
13243 xsubge0
13244 xposdif
13245 xlesubadd
13246 xadddi
13278 xadddir
13279 xadddi2
13280 xadddi2r
13281 xaddcld
13284 ge0xaddcl
13443 xrsmgm
21180 xrs1mnd
21183 xrsds
21188 xrsxmet
24545 xrofsup
32247 supxrgelem
44345 caragenel2d
45546 |