Colors of
variables: wff set class |
Syntax hints: wi 4
wo 708
wceq 1353
wcel 2148
(class class class)co 5874 cc0 7810 c1 7811 cmin 8127 cn 8918 cn0 9175 |
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-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-inn 8919 df-n0 9176 |
This theorem is referenced by: elnn0nn
9217 nnaddm1cl
9313 nn0n0n1ge2
9322 fseq1m1p1
10094 nn0ennn
10432 expm1t
10547 expgt1
10557 nn0ltexp2
10688 bcn1
10737 bcm1k
10739 bcn2m1
10748 resqrexlemnm
11026 resqrexlemcvg
11027 resqrexlemga
11031 binomlem
11490 arisum
11505 arisum2
11506 cvgratnnlemnexp
11531 cvgratnnlemfm
11536 mertenslem2
11543 iddvdsexp
11821 dvdsfac
11865 oexpneg
11881 phibnd
12216 phiprmpw
12221 prmdiv
12234 oddprm
12258 fldivp1
12345 prmpwdvds
12352 dvexp
14145 lgslem1
14371 m1lgs
14422 |