Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ wa 397 = wceq 1542
∈ wcel 2107 ↦
cmpt 5192 ◡ccnv 5636
–1-1-onto→wf1o 6499 |
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 5260 ax-nul 5267 ax-pr 5388 |
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 3062 df-rex 3071 df-rab 3407 df-v 3449 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-sn 4591 df-pr 4593 df-op 4597 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-rn 5648 df-fun 6502 df-fn 6503 df-f 6504 df-f1 6505 df-fo 6506 df-f1o 6507 |
This theorem is referenced by: f1opw2
7612 en3d
8935 f1opwfi
9306 mapfien
9352 djulf1o
9856 djurf1o
9857 fin23lem22
10271 negf1o
11593 incexclem
15729 dvdsflip
16207 hashgcdlem
16668 grplmulf1o
18829 conjghm
19047 gapm
19094 sylow2a
19409 lsmhash
19495 psrbagconf1o
21361 psrbagconf1oOLD
21362 hmeoimaf1o
23144 itg1mulc
25092 resinf1o
25915 eff1olem
25927 sqff1o
26554 dvdsppwf1o
26558 dvdsflf1o
26559 fcobij
31693 mgcf1o
31919 subfacp1lem3
33840 subfacp1lem5
33842 metakunt15
40641 metakunt16
40642 frlmsnic
40775 |