Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 396 = wceq 1541
∈ wcel 2106 ↦
cmpt 5231 ◡ccnv 5675
–1-1-onto→wf1o 6542 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pr 5427 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-sn 4629 df-pr 4631 df-op 4635 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 |
This theorem is referenced by: f1opw2
7660 en3d
8984 f1opwfi
9355 mapfien
9402 djulf1o
9906 djurf1o
9907 fin23lem22
10321 negf1o
11643 incexclem
15781 dvdsflip
16259 hashgcdlem
16720 grplmulf1o
18896 conjghm
19122 gapm
19169 sylow2a
19486 lsmhash
19572 psrbagconf1o
21488 psrbagconf1oOLD
21489 hmeoimaf1o
23273 itg1mulc
25221 resinf1o
26044 eff1olem
26056 sqff1o
26683 dvdsppwf1o
26687 dvdsflf1o
26688 fcobij
31942 mgcf1o
32168 subfacp1lem3
34168 subfacp1lem5
34170 metakunt15
40994 metakunt16
40995 f1o2d2
41057 frlmsnic
41112 |