Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wo 708
wcel 2148
(class class class)co 5877 cc 7811 cr 7812 cc0 7813 c1 7814 caddc 7816 cneg 8131 cn 8921 cn0 9178 cz 9255 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-14 2151 ax-ext 2159 ax-sep 4123 ax-pow 4176 ax-pr 4211 ax-setind 4538 ax-cnex 7904 ax-resscn 7905 ax-1cn 7906 ax-1re 7907 ax-icn 7908 ax-addcl 7909 ax-addrcl 7910 ax-mulcl 7911 ax-addcom 7913 ax-addass 7915 ax-distr 7917 ax-i2m1 7918 ax-0id 7921 ax-rnegex 7922 ax-cnre 7924 |
This theorem depends on definitions:
df-bi 117 df-3or 979 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2741 df-sbc 2965 df-dif 3133 df-un 3135 df-in 3137 df-ss 3144 df-pw 3579 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-int 3847 df-br 4006 df-opab 4067 df-id 4295 df-xp 4634 df-rel 4635 df-cnv 4636 df-co 4637 df-dm 4638 df-iota 5180 df-fun 5220 df-fv 5226 df-riota 5833 df-ov 5880 df-oprab 5881 df-mpo 5882 df-sub 8132 df-neg 8133 df-inn 8922 df-n0 9179 df-z 9256 |
This theorem is referenced by: zaddcllempos
9292 peano2zm
9293 zleltp1
9310 btwnnz
9349 peano2uz2
9362 uzind
9366 uzind2
9367 peano2zd
9380 eluzp1m1
9553 eluzp1p1
9555 peano2uz
9585 zltaddlt1le
10009 fzp1disj
10082 elfzp1b
10099 fzneuz
10103 fzp1nel
10106 fzval3
10206 fzossfzop1
10214 rebtwn2zlemstep
10255 flhalf
10304 frec2uzsucd
10403 zesq
10641 hashfzp1
10806 odd2np1lem
11879 odd2np1
11880 mulsucdiv2z
11892 oddp1d2
11897 zob
11898 ltoddhalfle
11900 fldivp1
12348 lgsdir2lem2
14469 |