Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
‘cfv 6497 ℂcc 11050 ℝcr 11051
ℑcim 14984 |
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 ax-pre-mulgt0 11129 |
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-rmo 3354 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-xr 11194 df-ltxr 11195 df-le 11196 df-sub 11388 df-neg 11389 df-div 11814 df-2 12217
df-cj 14985 df-re 14986 df-im 14987 |
This theorem is referenced by: rlimrecl
15463 resincl
16023 sin01bnd
16068 recld2
24180 mbfeqa
25010 mbfss
25013 mbfmulc2re
25015 mbfadd
25028 mbfmulc2
25030 mbflim
25035 mbfmul
25094 iblcn
25166 itgcnval
25167 itgre
25168 itgim
25169 iblneg
25170 itgneg
25171 ibladd
25188 itgadd
25192 iblabs
25196 itgmulc2
25201 bddiblnc
25209 aaliou2b
25704 efif1olem3
25903 eff1olem
25907 logimclad
25931 abslogimle
25932 logrnaddcl
25933 lognegb
25948 logcj
25964 efiarg
25965 cosargd
25966 argregt0
25968 argrege0
25969 argimgt0
25970 argimlt0
25971 logimul
25972 abslogle
25976 tanarg
25977 logcnlem2
26001 logcnlem3
26002 logcnlem4
26003 logcnlem5
26004 logcn
26005 dvloglem
26006 logf1o2
26008 efopnlem1
26014 efopnlem2
26015 cxpsqrtlem
26060 abscxpbnd
26109 ang180lem2
26163 lawcos
26169 isosctrlem1
26171 isosctrlem2
26172 asinneg
26239 asinsinlem
26244 atanlogaddlem
26266 atanlogsublem
26268 atanlogsub
26269 basellem3
26435 sqsscirc2
32493 ibladdnc
36138 itgaddnc
36141 iblabsnc
36145 iblmulc2nc
36146 itgmulc2nc
36149 ftc1anclem2
36155 ftc1anclem6
36159 ftc1anclem8
36161 cntotbnd
36258 isosctrlem1ALT
43223 dstregt0
43522 absimnre
43719 absimlere
43722 cnrefiisplem
44077 sigarim
45099 readdcnnred
45542 resubcnnred
45543 cndivrenred
45545 |