Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∨ wo 846 = wceq 1534
∈ wcel 2099 class class class wbr 5143
ℝcr 11132 <
clt 11273 ≤ cle 11274 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5294 ax-nul 5301 ax-pow 5360 ax-pr 5424 ax-un 7735 ax-resscn 11190 ax-pre-lttri 11207 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2937 df-nel 3043 df-ral 3058 df-rex 3067 df-rab 3429 df-v 3472 df-sbc 3776 df-csb 3891 df-dif 3948 df-un 3950 df-in 3952 df-ss 3962 df-nul 4320 df-if 4526 df-pw 4601 df-sn 4626 df-pr 4628 df-op 4632 df-uni 4905 df-br 5144 df-opab 5206 df-mpt 5227 df-id 5571 df-xp 5679 df-rel 5680 df-cnv 5681 df-co 5682 df-dm 5683 df-rn 5684 df-res 5685 df-ima 5686 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-er 8719 df-en 8959 df-dom 8960 df-sdom 8961 df-pnf 11275 df-mnf 11276 df-xr 11277 df-ltxr 11278 df-le 11279 |
This theorem is referenced by: eqle
11341 mulge0
11757 msqge0
11760 leidi
11773 leidd
11805 lemulge11
12101 lediv2a
12133 nn2ge
12264 max1ALT
13192 lo1const
15592 isumless
15818 retos
21544 itg2itg1
25660 itg20
25661 nmobndi
30579 breprexp
34260 relowlpssretop
36838 iuneqfzuzlem
44707 fmuldfeq
44962 volioc
45351 caratheodorylem1
45905 |