Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ‘cfv 6501 (class class class)co 7362
ℂcc 11056 −
cmin 11392 abscabs 15126 |
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 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-resscn 11115 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-mulcom 11122 ax-addass 11123 ax-mulass 11124 ax-distr 11125 ax-i2m1 11126 ax-1ne0 11127 ax-1rid 11128 ax-rnegex 11129 ax-rrecex 11130 ax-cnre 11131 ax-pre-lttri 11132 ax-pre-lttrn 11133 ax-pre-ltadd 11134 ax-pre-mulgt0 11135 |
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-rmo 3356 df-reu 3357 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-po 5550 df-so 5551 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-riota 7318 df-ov 7365 df-oprab 7366 df-mpo 7367 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-xr 11200 df-ltxr 11201 df-le 11202 df-sub 11394 df-neg 11395 df-div 11820 df-2 12223
df-cj 14991 df-re 14992 df-im 14993 df-abs 15128 |
This theorem is referenced by: rlimuni
15439 climuni
15441 2clim
15461 rlimrecl
15469 subcn2
15484 reccn2
15486 climcau
15562 caucvgrlem
15564 serf0
15572 mertenslem2
15777 xrsxmet
24188 elcncf2
24269 cnllycmp
24335 dvlip
25373 c1lip1
25377 dvfsumrlim2
25412 dvfsum2
25414 ftc1a
25417 aalioulem3
25710 ulmcaulem
25769 ulmcau
25770 ulmbdd
25773 ulmcn
25774 ulmdvlem1
25775 logcnlem4
26016 ssscongptld
26188 chordthmlem3
26200 chordthmlem4
26201 lgamucov
26403 ftalem2
26439 logfacrlim
26588 dchrisumlem3
26855 dchrisum0lem1b
26879 mulog2sumlem2
26899 pntrlog2bndlem3
26943 smcnlem
29681 qqhucn
32613 dnibndlem2
34971 dnibndlem6
34975 dnibndlem8
34977 dnibnd
34983 unbdqndv2lem1
35001 knoppndvlem10
35013 knoppndvlem15
35018 ftc1anclem8
36187 irrapxlem3
41176 irrapxlem5
41178 pell14qrgt0
41211 acongeq
41336 absimlere
43789 limcrecl
43944 islpcn
43954 lptre2pt
43955 0ellimcdiv
43964 limclner
43966 dvbdfbdioolem2
44244 ioodvbdlimc1lem1
44246 ioodvbdlimc1lem2
44247 ioodvbdlimc2lem
44249 fourierdlem42
44464 ioorrnopnlem
44619 smflimlem4
45089 |