Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∈ wcel 2107
Lim wlim 6319 suc csuc 6320
ωcom 7803 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-ext 2704 ax-sep 5257 ax-nul 5264 ax-pr 5385 ax-un 7673 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 df-ne 2941 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3446 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-pss 3930 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-tr 5224 df-eprel 5538 df-po 5546 df-so 5547 df-fr 5589 df-we 5591 df-ord 6321 df-on 6322 df-lim 6323 df-suc 6324 df-om 7804 |
This theorem is referenced by: nnsuc
7821 peano2
7828 peano5
7831 peano5OLD
7832 frsuc
8384 frsucmptn
8386 nnaordi
8566 nnmsucr
8573 omsmolem
8604 php
9157 php4
9160 phpOLD
9169 unblem1
9242 isfinite2
9248 inf0
9562 inf3lem1
9569 inf3lem5
9573 cantnfp1lem3
9621 cantnflem1
9630 itunisuc
10360 ituniiun
10363 indpi
10848 rdgeqoa
35887 |