Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∨ wo 846 = wceq 1542
∈ wcel 2107 class class class wbr 5149
ℝcr 11109 <
clt 11248 ≤ cle 11249 |
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-resscn 11167 ax-pre-lttri 11184 |
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 2942 df-nel 3048 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-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-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 |
This theorem is referenced by: mulge0
11732 prodgt0
12061 lemul1
12066 fimaxre
12158 fiminre
12161 supfirege
12201 nn0le2is012
12626 nn0o1gt2
16324 2mulprm
16630 reconnlem1
24342 reconnlem2
24343 ivthle
24973 ivthle2
24974 ovolicc2lem3
25036 itgsplitioo
25355 dvlip
25510 dvge0
25523 dvfsumlem1
25543 dgrco
25789 plydivex
25810 coseq00topi
26012 logreclem
26267 scvxcvx
26490 pntrlog2bndlem5
27084 dnibndlem13
35366 lcmineqlem23
40916 lcmineqlem
40917 aks4d1p1
40941 sticksstones12a
40973 sticksstones22
40984 metakunt9
40993 elpell1qr2
41610 pellfundex
41624 fmul01lt1lem2
44301 wallispilem3
44783 fourierdlem25
44848 fourierdlem42
44865 lighneallem4b
46277 nn0o1gt2ALTV
46362 stgoldbwt
46444 sbgoldbwt
46445 sbgoldbalt
46449 nnsum3primesle9
46462 bgoldbtbndlem1
46473 |