Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1542 ∈
wcel 2107 (class class class)co 7409
ℂcc 11108 0cc0 11110
− cmin 11444 |
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 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-resscn 11167 ax-1cn 11168 ax-icn 11169 ax-addcl 11170 ax-addrcl 11171 ax-mulcl 11172 ax-mulrcl 11173 ax-mulcom 11174 ax-addass 11175 ax-mulass 11176 ax-distr 11177 ax-i2m1 11178 ax-1ne0 11179 ax-1rid 11180 ax-rnegex 11181 ax-rrecex 11182 ax-cnre 11183 ax-pre-lttri 11184 ax-pre-lttrn 11185 ax-pre-ltadd 11186 |
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 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-po 5589 df-so 5590 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-ltxr 11253 df-sub 11446 |
This theorem is referenced by: subne0ad
11582 subeq0bd
11640 muleqadd
11858 mulcan1g
11867 ofsubeq0
12209 nn0n0n1ge2
12539 mod0
13841 modirr
13907 addmodlteq
13911 sqreulem
15306 sqreu
15307 tanaddlem
16109 fldivp1
16830 4sqlem11
16888 4sqlem16
16893 znf1o
21107 cphsqrtcl2
24703 rrxmet
24925 dvcobr
25463 dvcnvlem
25493 cmvth
25508 dvlip
25510 lhop1lem
25530 ftc1lem5
25557 aalioulem2
25846 sineq0
26033 tanarg
26127 affineequiv
26328 quad2
26344 dcubic
26351 eqeelen
28162 colinearalg
28168 axcontlem7
28228 ipasslem9
30091 ip2eqi
30109 hi2eq
30358 lnopeqi
31261 riesz3i
31315 signslema
33573 circlemeth
33652 gg-dvcobr
35176 gg-cmvth
35181 poimirlem32
36520 broucube
36522 rrnmet
36697 eqrabdioph
41515 pellexlem1
41567 sineq0ALT
43698 digexp
47293 eenglngeehlnmlem2
47424 2itscp
47467 |