Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 396
∈ wcel 2106 class class class wbr 5103
(class class class)co 7349 0cc0 10984
+∞cpnf 11119 ℝ*cxr 11121 ≤
cle 11123 [,]cicc 13195 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2708 ax-sep 5254 ax-nul 5261 ax-pow 5318 ax-pr 5382 ax-un 7662 ax-cnex 11040 ax-resscn 11041 ax-1cn 11042 ax-addrcl 11045 ax-rnegex 11055 ax-cnre 11057 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2887 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rab 3406 df-v 3445 df-sbc 3738 df-dif 3911 df-un 3913 df-in 3915 df-ss 3925 df-nul 4281 df-if 4485 df-pw 4560 df-sn 4585 df-pr 4587 df-op 4591 df-uni 4864 df-br 5104 df-opab 5166 df-id 5528 df-xp 5636 df-rel 5637 df-cnv 5638 df-co 5639 df-dm 5640 df-iota 6443 df-fun 6493 df-fv 6499 df-ov 7352 df-oprab 7353 df-mpo 7354 df-pnf 11124 df-mnf 11125 df-xr 11126 df-ltxr 11127 df-le 11128 df-icc 13199 |
This theorem is referenced by: sge0xaddlem1
44427 sge0xaddlem2
44428 ovnsubaddlem1
44564 |