Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wo 708
wcel 2148
(class class class)co 5874 cc 7808 cr 7809 cc0 7810 c1 7811 caddc 7813 cneg 8128 cn 8918 cn0 9175 cz 9252 |
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 4121 ax-pow 4174 ax-pr 4209 ax-setind 4536 ax-cnex 7901 ax-resscn 7902 ax-1cn 7903 ax-1re 7904 ax-icn 7905 ax-addcl 7906 ax-addrcl 7907 ax-mulcl 7908 ax-addcom 7910 ax-addass 7912 ax-distr 7914 ax-i2m1 7915 ax-0id 7918 ax-rnegex 7919 ax-cnre 7921 |
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 2739 df-sbc 2963 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-int 3845 df-br 4004 df-opab 4065 df-id 4293 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-iota 5178 df-fun 5218 df-fv 5224 df-riota 5830 df-ov 5877 df-oprab 5878 df-mpo 5879 df-sub 8129 df-neg 8130 df-inn 8919 df-n0 9176 df-z 9253 |
This theorem is referenced by: zaddcllempos
9289 peano2zm
9290 zleltp1
9307 btwnnz
9346 peano2uz2
9359 uzind
9363 uzind2
9364 peano2zd
9377 eluzp1m1
9550 eluzp1p1
9552 peano2uz
9582 zltaddlt1le
10006 fzp1disj
10079 elfzp1b
10096 fzneuz
10100 fzp1nel
10103 fzval3
10203 fzossfzop1
10211 rebtwn2zlemstep
10252 flhalf
10301 frec2uzsucd
10400 zesq
10638 hashfzp1
10803 odd2np1lem
11876 odd2np1
11877 mulsucdiv2z
11889 oddp1d2
11894 zob
11895 ltoddhalfle
11897 fldivp1
12345 lgsdir2lem2
14400 |