Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5110 ℝcr 11057
0cc0 11058 < clt 11196
≤ cle 11197 ℝ+crp 12922 |
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-1cn 11116 ax-addrcl 11119 ax-rnegex 11129 ax-cnre 11131 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 df-rp 12923 |
This theorem is referenced by: rprege0
12937 rpge0d
12968 xralrple
13131 xlemul1
13216 infmrp1
13270 01sqrexlem1
15134 rpsqrtcl
15156 divrcnv
15744 ef01bndlem
16073 stdbdmet
23888 reconnlem2
24206 cphsqrtcl3
24567 iscmet3lem3
24670 minveclem3
24809 itg2const2
25122 itg2mulclem
25127 aalioulem2
25709 pige3ALT
25892 argregt0
25981 argrege0
25982 2irrexpq
26101 cxpcn3
26117 cxplim
26337 cxp2lim
26342 divsqrtsumlem
26345 logdiflbnd
26360 basellem4
26449 ppiltx
26542 bposlem8
26655 bposlem9
26656 chebbnd1
26836 mulog2sumlem2
26899 selbergb
26913 selberg2b
26916 nmcexi
31010 nmcopexi
31011 nmcfnexi
31035 sqsscirc1
32529 divsqrtid
33247 logdivsqrle
33303 hgt750lem2
33305 subfacval3
33823 ptrecube
36107 heicant
36142 itg2addnclem
36158 itg2gt0cn
36162 areacirclem1
36195 areacirclem4
36198 areacirc
36200 cntotbnd
36284 xralrple4
43681 xralrple3
43682 fourierdlem103
44524 blenre
46734 itscnhlinecirc02plem3
46944 itscnhlinecirc02p
46945 |