Colors of
variables: wff
setvar class |
Syntax hints:
β wi 4 β§ wa 397
β wcel 2107 (class class class)co 7409
β*cxr 11247
+π cxad 13090 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-cnex 11166 ax-1cn 11168 ax-addrcl 11171 ax-rnegex 11181 ax-cnre 11183 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 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-iun 5000 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 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-fv 6552 df-ov 7412 df-oprab 7413 df-mpo 7414 df-1st 7975 df-2nd 7976 df-pnf 11250 df-mnf 11251 df-xr 11252 df-xadd 13093 |
This theorem is referenced by: xaddass
13228 xaddass2
13229 xleadd1a
13232 xleadd1
13234 xltadd1
13235 xaddge0
13237 xle2add
13238 xlt2add
13239 xsubge0
13240 xposdif
13241 xlesubadd
13242 xadddi
13274 xadddir
13275 xadddi2
13276 xadddi2r
13277 xaddcld
13280 ge0xaddcl
13439 xrsmgm
20980 xrs1mnd
20983 xrsds
20988 xrsxmet
24325 xrofsup
31980 supxrgelem
44047 caragenel2d
45248 |