Colors of
variables: wff set class |
Syntax hints: wa 104
wb 105 wo 708 w3o 977 wceq 1353 wcel 2148 cr 7809 cc0 7810 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-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-ext 2159 ax-sep 4121 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-i2m1 7915 ax-rnegex 7919 |
This theorem depends on definitions:
df-bi 117 df-3or 979 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-un 3133 df-in 3135 df-ss 3142 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-int 3845 df-br 4004 df-iota 5178 df-fv 5224 df-ov 5877 df-neg 8130 df-inn 8919 df-n0 9176 df-z 9253 |
This theorem is referenced by: peano2z
9288 zindd
9370 expcl2lemap
10531 mulexpzap
10559 expaddzap
10563 expmulzap
10565 absexpzap
11088 pcid
12322 mulgsubcl
12996 mulgneg
13000 |