Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∨ wo 844 = wceq 1533
∈ wcel 2098 class class class wbr 5139
ℝcr 11106 <
clt 11246 ≤ cle 11247 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-sep 5290 ax-nul 5297 ax-pow 5354 ax-pr 5418 ax-un 7719 ax-resscn 11164 ax-pre-lttri 11181 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-rab 3425 df-v 3468 df-sbc 3771 df-csb 3887 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-nul 4316 df-if 4522 df-pw 4597 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-br 5140 df-opab 5202 df-mpt 5223 df-id 5565 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-rn 5678 df-res 5679 df-ima 5680 df-iota 6486 df-fun 6536 df-fn 6537 df-f 6538 df-f1 6539 df-fo 6540 df-f1o 6541 df-fv 6542 df-er 8700 df-en 8937 df-dom 8938 df-sdom 8939 df-pnf 11248 df-mnf 11249 df-xr 11250 df-ltxr 11251 df-le 11252 |
This theorem is referenced by: eqle
11314 mulge0
11730 msqge0
11733 leidi
11746 leidd
11778 lemulge11
12074 lediv2a
12106 nn2ge
12237 max1ALT
13163 lo1const
15563 isumless
15789 retos
21481 itg2itg1
25590 itg20
25591 nmobndi
30500 breprexp
34136 relowlpssretop
36736 iuneqfzuzlem
44554 fmuldfeq
44809 volioc
45198 caratheodorylem1
45752 |