Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wb 105 wceq 1353 wcel 2148 cab 2163 wral 2455 cint 3845 (class class class)co 5875
cr 7810
c1 7812
caddc 7814 cn 8919 |
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 4122 ax-cnex 7902 ax-resscn 7903 ax-1re 7905 ax-addrcl 7908 |
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 2740 df-un 3134 df-in 3136 df-ss 3143 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-int 3846 df-br 4005 df-iota 5179 df-fv 5225 df-ov 5878 df-inn 8920 |
This theorem is referenced by: peano2nnd
8934 nnind
8935 nnaddcl
8939 2nn
9080 3nn
9081 4nn
9082 5nn
9083 6nn
9084 7nn
9085 8nn
9086 9nn
9087 nneoor
9355 10nn
9399 nnsplit
10137 fzonn0p1p1
10213 expp1
10527 facp1
10710 resqrexlemfp1
11018 resqrexlemcalc3
11025 trireciplem
11508 trirecip
11509 cvgratnnlemnexp
11532 cvgratz
11540 nno
11911 nnoddm1d2
11915 rplpwr
12028 prmind2
12120 sqrt2irr
12162 pcmpt
12341 pockthi
12356 mulgnnp1
12991 2sqlem10
14475 |