Colors of
variables: wff set class |
Syntax hints:
→ wi 4 ∈ wcel 2148
(class class class)co 5878 1c1 7815
+ caddc 7817 ℕcn 8922 ℕ0cn0 9179 |
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 4123 ax-cnex 7905 ax-resscn 7906 ax-1cn 7907 ax-1re 7908 ax-icn 7909 ax-addcl 7910 ax-addrcl 7911 ax-mulcl 7912 ax-addcom 7914 ax-addass 7916 ax-i2m1 7919 ax-0id 7922 ax-rnegex 7923 |
This theorem depends on definitions:
df-bi 117 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 2741 df-un 3135 df-in 3137 df-ss 3144 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-int 3847 df-br 4006 df-iota 5180 df-fv 5226 df-ov 5881 df-inn 8923 df-n0 9180 |
This theorem is referenced by: elnn0nn
9221 elz2
9327 peano5uzti
9364 fseq1p1m1
10097 fzonn0p1
10214 nn0ennn
10436 faccl
10718 facdiv
10721 facwordi
10723 faclbnd
10724 facubnd
10728 bcm1k
10743 bcp1n
10744 bcp1nk
10745 bcpasc
10749 bcxmas
11500 efcllemp
11669 uzwodc
12041 prmfac1
12155 pcfac
12351 |