Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1540 ∈
wcel 2105 (class class class)co 7412
ℂcc 11111 0cc0 11113
− cmin 11449 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-10 2136 ax-11 2153 ax-12 2170 ax-ext 2702 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7728 ax-resscn 11170 ax-1cn 11171 ax-icn 11172 ax-addcl 11173 ax-addrcl 11174 ax-mulcl 11175 ax-mulrcl 11176 ax-mulcom 11177 ax-addass 11178 ax-mulass 11179 ax-distr 11180 ax-i2m1 11181 ax-1ne0 11182 ax-1rid 11183 ax-rnegex 11184 ax-rrecex 11185 ax-cnre 11186 ax-pre-lttri 11187 ax-pre-lttrn 11188 ax-pre-ltadd 11189 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1087 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-nf 1785 df-sb 2067 df-mo 2533 df-eu 2562 df-clab 2709 df-cleq 2723 df-clel 2809 df-nfc 2884 df-ne 2940 df-nel 3046 df-ral 3061 df-rex 3070 df-reu 3376 df-rab 3432 df-v 3475 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 7368 df-ov 7415 df-oprab 7416 df-mpo 7417 df-er 8706 df-en 8943 df-dom 8944 df-sdom 8945 df-pnf 11255 df-mnf 11256 df-ltxr 11258 df-sub 11451 |
This theorem is referenced by: subne0ad
11587 subeq0bd
11645 muleqadd
11863 mulcan1g
11872 ofsubeq0
12214 nn0n0n1ge2
12544 mod0
13846 modirr
13912 addmodlteq
13916 sqreulem
15311 sqreu
15312 tanaddlem
16114 fldivp1
16835 4sqlem11
16893 4sqlem16
16898 znf1o
21327 cphsqrtcl2
24935 rrxmet
25157 dvcobr
25696 dvcnvlem
25726 cmvth
25741 dvlip
25743 lhop1lem
25763 ftc1lem5
25790 aalioulem2
26079 sineq0
26266 tanarg
26360 affineequiv
26561 quad2
26577 dcubic
26584 eqeelen
28426 colinearalg
28432 axcontlem7
28492 ipasslem9
30355 ip2eqi
30373 hi2eq
30622 lnopeqi
31525 riesz3i
31579 signslema
33868 circlemeth
33947 gg-dvcobr
35463 gg-cmvth
35468 poimirlem32
36824 broucube
36826 rrnmet
37001 eqrabdioph
41818 pellexlem1
41870 sineq0ALT
44001 digexp
47382 eenglngeehlnmlem2
47513 2itscp
47556 |