Colors of
variables: wff set class |
Syntax hints:
wb 105
wceq 1353
wcel 2148
wral 2455
csn 3592
ciun 3886
cxp 4624
wf 5212 cmpo 5876 |
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-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 |
This theorem depends on definitions:
df-bi 117 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-csb 3058 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-iun 3888 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-rn 4637 df-res 4638 df-ima 4639 df-iota 5178 df-fun 5218 df-fn 5219 df-f 5220 df-fv 5224 df-oprab 5878 df-mpo 5879 df-1st 6140 df-2nd 6141 |
This theorem is referenced by: fnmpo
6202 ovmpoelrn
6207 fmpoco
6216 eroprf
6627 mapxpen
6847 subf
8158 xaddf
9843 ixxf
9897 ioof
9970 fzf
10011 fzof
10143 gcdf
11972 eucalgf
12054 xpsff1o
12767 mgmplusf
12784 grpsubf
12948 lmodscaf
13398 txuni2
13726 txbasval
13737 cnmpt12
13757 cnmpt21
13761 cnmpt2t
13763 cnmpt22
13764 cnmptcom
13768 txswaphmeo
13791 blfvalps
13855 blfps
13879 blf
13880 bdmet
13972 xmetxp
13977 |