Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wb 105 wceq 1353 wcel 2148 cab 2163 wral 2455 cint 3846 (class class class)co 5877
cr 7812
c1 7814
caddc 7816 cn 8921 |
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 7904 ax-resscn 7905 ax-1re 7907 ax-addrcl 7910 |
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-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 5880 df-inn 8922 |
This theorem is referenced by: peano2nnd
8936 nnind
8937 nnaddcl
8941 2nn
9082 3nn
9083 4nn
9084 5nn
9085 6nn
9086 7nn
9087 8nn
9088 9nn
9089 nneoor
9357 10nn
9401 nnsplit
10139 fzonn0p1p1
10215 expp1
10529 facp1
10712 resqrexlemfp1
11020 resqrexlemcalc3
11027 trireciplem
11510 trirecip
11511 cvgratnnlemnexp
11534 cvgratz
11542 nno
11913 nnoddm1d2
11917 rplpwr
12030 prmind2
12122 sqrt2irr
12164 pcmpt
12343 pockthi
12358 mulgnnp1
12996 2sqlem10
14511 |