Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= 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: addeq0
11579 icoshftf1o
13392 iccf1o
13414 modmuladdnn0
13821 hashun3
14285 oddm1even
16226 oexpneg
16228 modremain
16291 hashdvds
16648 psgnunilem5
19277 icopnfcnv
24308 affineequiv4
26179 mcubic
26200 lgsvalmod
26667 2sqmod
26787 colinearalglem2
27859 wlklnwwlkln2lem
28830 eucrct2eupth
29192 ballotlem1c
33110 subfacp1lem1
33776 mblfinlem3
36120 mblfinlem4
36121 itg2addnclem2
36133 aks4d1p1p7
40534 aks4d1p1
40536 fperdvper
44167 fourierdlem19
44374 fmtnorec2lem
45741 fmtnorec4
45748 fmtnoprmfac1lem
45763 fmtnoprmfac1
45764 fmtnoprmfac2
45766 sfprmdvdsmersenne
45802 oexpnegALTV
45876 even3prm2
45918 sbgoldbst
45977 nnsgrpnmnd
46119 blennn0em1
46684 eenglngeehlnmlem1
46830 eenglngeehlnmlem2
46831 itscnhlc0xyqsol
46858 itschlc0xyqsol1
46859 |