Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∨ wo 846 = wceq 1542
∈ wcel 2107 class class class wbr 5110
ℝcr 11057 <
clt 11196 ≤ cle 11197 |
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 2708 ax-sep 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-resscn 11115 ax-pre-lttri 11132 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-xr 11200 df-ltxr 11201 df-le 11202 |
This theorem is referenced by: mulge0
11680 prodgt0
12009 lemul1
12014 fimaxre
12106 fiminre
12109 supfirege
12149 nn0le2is012
12574 nn0o1gt2
16270 2mulprm
16576 reconnlem1
24205 reconnlem2
24206 ivthle
24836 ivthle2
24837 ovolicc2lem3
24899 itgsplitioo
25218 dvlip
25373 dvge0
25386 dvfsumlem1
25406 dgrco
25652 plydivex
25673 coseq00topi
25875 logreclem
26128 scvxcvx
26351 pntrlog2bndlem5
26945 dnibndlem13
34982 lcmineqlem23
40537 lcmineqlem
40538 aks4d1p1
40562 sticksstones12a
40594 sticksstones22
40605 metakunt9
40614 elpell1qr2
41224 pellfundex
41238 fmul01lt1lem2
43900 wallispilem3
44382 fourierdlem25
44447 fourierdlem42
44464 lighneallem4b
45875 nn0o1gt2ALTV
45960 stgoldbwt
46042 sbgoldbwt
46043 sbgoldbalt
46047 nnsum3primesle9
46060 bgoldbtbndlem1
46071 |