Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 397 ∈
wcel 2107 {crab 3410
class class class wbr 5110 ‘cfv 6501
≤ cle 11197 ℤcz 12506 ℤ≥cuz 12770 |
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-10 2138 ax-11 2155 ax-12 2172 ax-ext 2708 ax-sep 5261 ax-nul 5268 ax-pr 5389 ax-cnex 11114 ax-resscn 11115 |
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-nf 1787 df-sb 2069 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ral 3066 df-rex 3075 df-rab 3411 df-v 3450 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-iota 6453 df-fun 6503 df-fv 6509 df-ov 7365 df-neg 11395 df-z 12507
df-uz 12771 |
This theorem is referenced by: eluz2
12776 eluz1i
12778 eluz
12784 uzid
12785 uzss
12793 eluzp1m1
12796 raluz
12828 rexuz
12830 preduz
13570 fi1uzind
14403 algcvga
16462 uzssico
31729 nndiffz1
31731 fzspl
31735 cycpmco2lem6
32022 cycpmconjslem2
32046 breprexplemc
33285 logblebd
40462 lzunuz
41120 |