Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 (class class class)co 7358
ℂcc 11050 + caddc 11055 − cmin 11386 |
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 |
This theorem is referenced by: subaddmulsub
11619 uzsubsubfz
13464 bcm1k
14216 swrds2m
14831 crre
15000 imval2
15037 cvgcmp
15702 arisum2
15747 mertenslem1
15770 binomfallfaclem2
15924 fallfacval4
15927 bpolydiflem
15938 bpoly3
15942 bpoly4
15943 cos01bnd
16069 prmdiv
16658 vfermltlALT
16675 dvle
25374 dvfsumlem2
25394 efif1olem2
25902 affineequiv
26176 heron
26191 dquart
26206 quartlem1
26210 acosneg
26240 efiatan2
26270 atans2
26284 birthdaylem2
26305 lgamcvg2
26407 wilthlem2
26421 basellem5
26437 gausslemma2dlem1a
26716 pntrlog2bndlem4
26931 pntrlog2bndlem5
26932 pntrlog2bndlem6
26934 colinearalglem2
27859 axsegconlem9
27877 clwlkclwwlklem2a1
28939 clwlkclwwlklem2a4
28944 clwwlkext2edg
29003 numclwwlk1lem2foalem
29298 numclwwlk1lem2fo
29305 wrdt2ind
31810 subfacp1lem5
33781 poimirlem29
36110 itg2addnclem
36132 itg2addnclem3
36134 rmspecsqrtnq
41232 sub31
43531 infleinflem2
43612 stoweidlem26
44274 fourierdlem19
44374 fourierdlem63
44417 fourierdlem107
44461 ovolval5lem1
44900 fmtnorec4
45748 itcovalt2lem2lem2
46767 |