Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∨ wo 846 = wceq 1542
∈ wcel 2107 class class class wbr 5106
ℝcr 11055 <
clt 11194 ≤ cle 11195 |
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 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11113 ax-pre-lttri 11130 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 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 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3446 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-er 8651 df-en 8887 df-dom 8888 df-sdom 8889 df-pnf 11196 df-mnf 11197 df-xr 11198 df-ltxr 11199 df-le 11200 |
This theorem is referenced by: eqle
11262 mulge0
11678 msqge0
11681 leidi
11694 leidd
11726 lemulge11
12022 lediv2a
12054 nn2ge
12185 max1ALT
13111 lo1const
15509 isumless
15735 retos
21038 itg2itg1
25117 itg20
25118 nmobndi
29759 breprexp
33303 relowlpssretop
35881 iuneqfzuzlem
43655 fmuldfeq
43910 volioc
44299 caratheodorylem1
44853 |