Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 ℝcr 11051
1c1 11053 -cneg 11387 |
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-1cn 11110 ax-icn 11111 ax-addcl 11112 ax-addrcl 11113 ax-mulcl 11114 ax-mulrcl 11115 ax-mulcom 11116 ax-addass 11117 ax-mulass 11118 ax-distr 11119 ax-i2m1 11120 ax-1ne0 11121 ax-1rid 11122 ax-rnegex 11123 ax-rrecex 11124 ax-cnre 11125 ax-pre-lttri 11126 ax-pre-lttrn 11127 ax-pre-ltadd 11128 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 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-reu 3355 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-po 5546 df-so 5547 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-riota 7314 df-ov 7361 df-oprab 7362 df-mpo 7363 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 df-sub 11388 df-neg 11389 |
This theorem is referenced by: dfceil2
13745 bernneq
14133 crre
15000 remim
15003 iseraltlem2
15568 iseraltlem3
15569 iseralt
15570 tanhbnd
16044 sinbnd2
16065 cosbnd2
16066 psgnodpmr
20997 xrhmeo
24312 xrhmph
24313 vitalilem2
24976 vitalilem4
24978 vitali
24980 mbfneg
25017 i1fsub
25076 itg1sub
25077 i1fibl
25175 itgitg1
25176 cos0pilt1
25891 recosf1o
25894 efif1olem3
25903 relogbdiv
26132 ang180lem3
26164 1cubrlem
26194 atanre
26238 acosrecl
26256 atandmcj
26262 leibpilem2
26294 leibpi
26295 leibpisum
26296 wilthlem1
26420 wilthlem2
26421 basellem3
26435 zabsle1
26647 lgsvalmod
26667 lgsdir2lem4
26679 gausslemma2dlem6
26723 lgseisen
26730 ostth3
26989 axlowdimlem7
27900 ipidsq
29655 ipasslem10
29784 hisubcomi
30049 normlem9
30063 hmopd
30967 sgnclre
33142 sgnnbi
33148 sgnpbi
33149 sgnsgn
33151 signswch
33176 signstf
33181 signsvfn
33197 subfacval2
33784 iexpire
34311 bcneg1
34312 cnndvlem1
35003 irrdiff
35800 ftc1anclem5
36158 asindmre
36164 dvasin
36165 dvacos
36166 dvreasin
36167 dvreacos
36168 areacirclem1
36169 2xp3dxp2ge1d
40617 sqrtcval
41920 sqrtcval2
41921 resqrtval
41922 imsqrtval
41923 stoweidlem22
44270 etransclem46
44528 smfneg
45051 3exp4mod41
45815 |