Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2098
Word cword 14466 ⟨“cs1 14547 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-rep 5276 ax-sep 5290 ax-nul 5297 ax-pow 5354 ax-pr 5418 ax-un 7719 ax-cnex 11163 ax-resscn 11164 ax-1cn 11165 ax-icn 11166 ax-addcl 11167 ax-addrcl 11168 ax-mulcl 11169 ax-mulrcl 11170 ax-mulcom 11171 ax-addass 11172 ax-mulass 11173 ax-distr 11174 ax-i2m1 11175 ax-1ne0 11176 ax-1rid 11177 ax-rnegex 11178 ax-rrecex 11179 ax-cnre 11180 ax-pre-lttri 11181 ax-pre-lttrn 11182 ax-pre-ltadd 11183 ax-pre-mulgt0 11184 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-reu 3369 df-rab 3425 df-v 3468 df-sbc 3771 df-csb 3887 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-pss 3960 df-nul 4316 df-if 4522 df-pw 4597 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-iun 4990 df-br 5140 df-opab 5202 df-mpt 5223 df-tr 5257 df-id 5565 df-eprel 5571 df-po 5579 df-so 5580 df-fr 5622 df-we 5624 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-rn 5678 df-res 5679 df-ima 5680 df-pred 6291 df-ord 6358 df-on 6359 df-lim 6360 df-suc 6361 df-iota 6486 df-fun 6536 df-fn 6537 df-f 6538 df-f1 6539 df-fo 6540 df-f1o 6541 df-fv 6542 df-riota 7358 df-ov 7405 df-oprab 7406 df-mpo 7407 df-om 7850 df-1st 7969 df-2nd 7970 df-frecs 8262 df-wrecs 8293 df-recs 8367 df-rdg 8406 df-er 8700 df-en 8937 df-dom 8938 df-sdom 8939 df-pnf 11249 df-mnf 11250 df-xr 11251 df-ltxr 11252 df-le 11253 df-sub 11445 df-neg 11446 df-nn 12212 df-n0 12472 df-z 12558
df-uz 12822 df-fz 13486 df-fzo 13629 df-word 14467 df-s1 14548 |
This theorem is referenced by: lswccats1fst
14587 ccats1pfxeqbi
14694 cats1cld
14808 cats1co
14809 s2cld
14824 s2co
14873 ofs2
14920 gsumwspan
18767 frmdgsum
18783 frmdss2
18784 frmdup2
18786 gsumwrev
19281 psgnunilem5
19410 efginvrel2
19643 efgs1
19651 efgsp1
19653 efgredlemd
19660 efgredlemc
19661 efgrelexlemb
19666 vrgpf
19684 vrgpinv
19685 frgpup2
19692 frgpup3lem
19693 frgpnabllem1
19789 pgpfaclem1
19999 tgcgr4
28276 clwlkclwwlk2
29751 clwlkclwwlkfo
29757 clwwlkel
29794 clwwlkfo
29798 clwwlkwwlksb
29802 cycpmco2f1
32777 cycpmco2rn
32778 cycpmco2lem2
32780 cycpmco2lem3
32781 cycpmco2lem4
32782 cycpmco2lem5
32783 cycpmco2lem6
32784 cycpmco2lem7
32785 cycpmco2
32786 cyc3genpmlem
32804 sseqf
33911 ofcs2
34076 signsvtn
34115 mrsubcv
35019 mrsubff
35021 mrsubrn
35022 mrsubccat
35027 elmrsubrn
35029 mrsubco
35030 mrsubvrs
35031 mvhf
35067 msubvrs
35069 gsumws3
43498 gsumws4
43499 |