Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 (class class class)co 7358
0cc0 11052 1c1 11053
+ caddc 11055 |
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-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-ov 7361 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-ltxr 11195 |
This theorem is referenced by: 6p5e11
12692 7p4e11
12695 8p3e11
12700 9p2e11
12706 fz1ssfz0
13538 fz0to3un2pr
13544 fzo01
13655 bcp1nk
14218 pfx1
14592 arisum2
15747 ege2le3
15973 ef4p
15996 efgt1p2
15997 efgt1p
15998 bitsmod
16317 prmdiv
16658 prmreclem2
16790 vdwap1
16850 11prm
16988 631prm
17000 mulgnn0p1
18888 gsummptfzsplitl
19711 itgcnlem
25157 dveflem
25346 ply1rem
25531 vieta1lem2
25674 vieta1
25675 pserdvlem2
25790 pserdv2
25792 abelthlem6
25798 abelthlem9
25802 cosne0
25888 logf1o2
26008 logtayl
26018 ang180lem3
26164 birthdaylem2
26305 ftalem5
26429 ppi2
26522 ppiublem2
26554 ppiub
26555 bclbnd
26631 bposlem2
26636 lgsdir2lem3
26678 lgseisenlem1
26726 axlowdimlem13
27906 spthispth
28677 uhgrwkspthlem2
28705 upgr3v3e3cycl
29127 upgr4cycl4dv4e
29132 ballotlemii
33106 ballotlem1c
33110 subfacval2
33784 cvmliftlem5
33886 sticksstones11
40567 sticksstones12
40569 metakunt24
40603 3cubeslem1
41010 halffl
43537 sinaover2ne0
44116 stoweidlem11
44259 stoweidlem13
44261 stirlinglem7
44328 fourierdlem48
44402 fourierdlem49
44403 fourierdlem69
44423 fourierdlem79
44433 fourierdlem93
44447 etransclem7
44489 etransclem25
44507 etransclem26
44508 etransclem37
44519 tworepnotupword
45132 iccpartlt
45623 31prm
45796 1odd
46112 itcoval1
46756 ackval1
46774 ackval41a
46787 |