Colors of
variables: wff set class |
Syntax hints:
→ wi 4 ∧ wa 104
↔ wb 105 ∈
wcel 2148 class class class wbr 4003
‘cfv 5216 ≤
cle 7992 ℤcz 9252
ℤ≥cuz 9527 |
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-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-cnex 7901 ax-resscn 7902 |
This theorem depends on definitions:
df-bi 117 df-3or 979 df-3an 980 df-tru 1356 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-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-sbc 2963 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-br 4004 df-opab 4065 df-mpt 4066 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-ov 5877 df-neg 8130 df-z 9253 df-uz 9528 |
This theorem is referenced by: uzneg
9545 uztric
9548 uzm1
9557 eluzdc
9609 fzn
10041 fzsplit2
10049 fznn
10088 uzsplit
10091 elfz2nn0
10111 fzouzsplit
10178 exfzdc
10239 fzfig
10429 faclbnd
10720 seq3coll
10821 cvg1nlemcau
10992 cvg1nlemres
10993 summodclem2a
11388 fsum0diaglem
11447 mertenslemi1
11542 prodmodclem2a
11583 zsupcllemstep
11945 zsupcl
11947 infssuzex
11949 pcpremul
12292 pcdvdsb
12318 pcadd
12338 pcfac
12347 pcbc
12348 prmunb
12359 uzdcinzz
14520 |