Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2099
Word cword 14497 ⟨“cs1 14578 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-rep 5285 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-cnex 11195 ax-resscn 11196 ax-1cn 11197 ax-icn 11198 ax-addcl 11199 ax-addrcl 11200 ax-mulcl 11201 ax-mulrcl 11202 ax-mulcom 11203 ax-addass 11204 ax-mulass 11205 ax-distr 11206 ax-i2m1 11207 ax-1ne0 11208 ax-1rid 11209 ax-rnegex 11210 ax-rrecex 11211 ax-cnre 11212 ax-pre-lttri 11213 ax-pre-lttrn 11214 ax-pre-ltadd 11215 ax-pre-mulgt0 11216 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-reu 3374 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-iun 4998 df-br 5149 df-opab 5211 df-mpt 5232 df-tr 5266 df-id 5576 df-eprel 5582 df-po 5590 df-so 5591 df-fr 5633 df-we 5635 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-pred 6305 df-ord 6372 df-on 6373 df-lim 6374 df-suc 6375 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-riota 7376 df-ov 7423 df-oprab 7424 df-mpo 7425 df-om 7871 df-1st 7993 df-2nd 7994 df-frecs 8287 df-wrecs 8318 df-recs 8392 df-rdg 8431 df-er 8725 df-en 8965 df-dom 8966 df-sdom 8967 df-pnf 11281 df-mnf 11282 df-xr 11283 df-ltxr 11284 df-le 11285 df-sub 11477 df-neg 11478 df-nn 12244 df-n0 12504 df-z 12590
df-uz 12854 df-fz 13518 df-fzo 13661 df-word 14498 df-s1 14579 |
This theorem is referenced by: lswccats1fst
14618 ccats1pfxeqbi
14725 cats1cld
14839 cats1co
14840 s2cld
14855 s2co
14904 ofs2
14951 gsumwspan
18798 frmdgsum
18814 frmdss2
18815 frmdup2
18817 gsumwrev
19320 psgnunilem5
19449 efginvrel2
19682 efgs1
19690 efgsp1
19692 efgredlemd
19699 efgredlemc
19700 efgrelexlemb
19705 vrgpf
19723 vrgpinv
19724 frgpup2
19731 frgpup3lem
19732 frgpnabllem1
19828 pgpfaclem1
20038 tgcgr4
28348 clwlkclwwlk2
29826 clwlkclwwlkfo
29832 clwwlkel
29869 clwwlkfo
29873 clwwlkwwlksb
29877 cycpmco2f1
32858 cycpmco2rn
32859 cycpmco2lem2
32861 cycpmco2lem3
32862 cycpmco2lem4
32863 cycpmco2lem5
32864 cycpmco2lem6
32865 cycpmco2lem7
32866 cycpmco2
32867 cyc3genpmlem
32885 sseqf
34012 ofcs2
34177 signsvtn
34216 mrsubcv
35120 mrsubff
35122 mrsubrn
35123 mrsubccat
35128 elmrsubrn
35130 mrsubco
35131 mrsubvrs
35132 mvhf
35168 msubvrs
35170 gsumws3
43626 gsumws4
43627 |