Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∧ w3a 1088 ∈
wcel 2107 class class class wbr 5106
ℝcr 11051 <
clt 11190 |
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 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11109 ax-pre-lttrn 11127 |
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 3409 df-v 3448 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 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 |
This theorem is referenced by: ltso
11236 lelttr
11246 ltletr
11248 lttri
11282 lttrd
11317 lt2sub
11654 mulgt1
12015 recgt1i
12053 recreclt
12055 sup2
12112 nnge1
12182 recnz
12579 gtndiv
12581 xrlttr
13060 fzo1fzo0n0
13624 flflp1
13713 1mod
13809 seqf1olem1
13948 expnbnd
14136 expnlbnd
14137 swrd2lsw
14842 2swrd2eqwrdeq
14843 sin01gt0
16073 cos01gt0
16074 p1modz1
16144 ltoddhalfle
16244 nno
16265 dvdsnprmd
16567 chfacfscmul0
22210 chfacfpmmul0
22214 iscmet3lem1
24658 bcthlem4
24694 bcthlem5
24695 ivthlem2
24819 ovolicc2lem3
24886 mbfaddlem
25027 reeff1olem
25808 logdivlti
25978 ftalem2
26426 chtub
26563 bclbnd
26631 efexple
26632 bposlem1
26635 lgsquadlem2
26732 pntlem3
26960 axlowdimlem16
27909 pthdlem1
28717 wwlksnredwwlkn
28843 clwwlkel
28993 clwwlknonex2lem2
29055 frgrogt3nreg
29344 poimirlem2
36083 sn-sup2
40941 stoweidlem34
44282 m1mod0mod1
45568 smonoord
45570 sbgoldbalt
45980 bgoldbtbndlem3
46006 bgoldbtbndlem4
46007 tgoldbach
46016 difmodm1lt
46615 regt1loggt0
46629 rege1logbrege0
46651 dignn0flhalflem1
46708 |