Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 397 = wceq 1542
∈ wcel 2107 ↦
cmpt 5232 ◡ccnv 5676
–1-1-onto→wf1o 6543 |
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 2704 ax-sep 5300 ax-nul 5307 ax-pr 5428 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 |
This theorem is referenced by: f1opw2
7661 en3d
8985 f1opwfi
9356 mapfien
9403 djulf1o
9907 djurf1o
9908 fin23lem22
10322 negf1o
11644 incexclem
15782 dvdsflip
16260 hashgcdlem
16721 grplmulf1o
18897 conjghm
19123 gapm
19170 sylow2a
19487 lsmhash
19573 psrbagconf1o
21489 psrbagconf1oOLD
21490 hmeoimaf1o
23274 itg1mulc
25222 resinf1o
26045 eff1olem
26057 sqff1o
26686 dvdsppwf1o
26690 dvdsflf1o
26691 fcobij
31947 mgcf1o
32173 subfacp1lem3
34173 subfacp1lem5
34175 metakunt15
40999 metakunt16
41000 f1o2d2
41055 frlmsnic
41110 |