Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1542 ∈
wcel 2107 (class class class)co 7358
ℂcc 11050 0cc0 11052
− 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: subne0ad
11524 subeq0bd
11582 muleqadd
11800 mulcan1g
11809 ofsubeq0
12151 nn0n0n1ge2
12481 mod0
13782 modirr
13848 addmodlteq
13852 sqreulem
15245 sqreu
15246 tanaddlem
16049 fldivp1
16770 4sqlem11
16828 4sqlem16
16833 znf1o
20961 cphsqrtcl2
24553 rrxmet
24775 dvcobr
25313 dvcnvlem
25343 cmvth
25358 dvlip
25360 lhop1lem
25380 ftc1lem5
25407 aalioulem2
25696 sineq0
25883 tanarg
25977 affineequiv
26176 quad2
26192 dcubic
26199 eqeelen
27856 colinearalg
27862 axcontlem7
27922 ipasslem9
29783 ip2eqi
29801 hi2eq
30050 lnopeqi
30953 riesz3i
31007 signslema
33177 circlemeth
33256 poimirlem32
36113 broucube
36115 rrnmet
36291 eqrabdioph
41103 pellexlem1
41155 sineq0ALT
43226 digexp
46700 eenglngeehlnmlem2
46831 2itscp
46874 |