Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 ≠ wne 2944
(class class class)co 7358 0cc0 11052
1c1 11053 ici 11054
+ caddc 11055 ·
cmul 11057 |
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-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-ov 7361 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: inelr
12144 2muline0
12378 irec
14106 iexpcyc
14112 imre
14994 reim
14995 crim
15001 cjreb
15009 cnpart
15126 tanval2
16016 tanval3
16017 efival
16035 sinhval
16037 retanhcl
16042 tanhlt1
16043 tanhbnd
16044 itgz
25148 ibl0
25154 iblcnlem1
25155 itgcnlem
25157 iblss
25172 iblss2
25173 itgss
25179 itgeqa
25181 iblconst
25185 iblabsr
25197 iblmulc2
25198 itgsplit
25203 dvsincos
25348 efeq1
25887 tanregt0
25898 efif1olem4
25904 eflogeq
25960 cxpsqrtlem
26060 root1eq1
26111 ang180lem1
26162 ang180lem2
26163 ang180lem3
26164 atandm2
26230 2efiatan
26271 atantan
26276 dvatan
26288 atantayl2
26291 log2cnv
26297 ccfldextdgrr
32359 itgexpif
33222 logi
34310 iexpire
34311 iblmulc2nc
36146 ftc1anclem6
36159 proot1ex
41531 iblsplit
44214 sinh-conventional
47191 |