Colors of
variables: wff
setvar class |
Syntax hints: -> wi 4 /\ wa 369
= wceq 1395 C_ wss 3475 `' ccnv 5003
dom cdm 5004 ran crn 5005 |` cres 5006
" cima 5007 Fun wfun 5587 --> wf 5589
-1-1-> wf1 5590
-onto-> wfo 5591
-1-1-onto-> wf1o 5592 |
This theorem is referenced by: f1opw2
6528 ssenen
7711 f1opwfi
7844 isf34lem3
8776 subggim
16314 gicsubgen
16326 cnt1
19851 basqtop
20212 tgqtop
20213 hmeoopn
20267 hmeocld
20268 hmeontr
20270 qtopf1
20317 f1otrg
24174 tpr2rico
27894 eulerpartlemmf
28314 ballotlemscr
28457 ballotlemrinv0
28471 cvmlift2lem9a
28748 grpokerinj
30347 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704
ax-6 1747 ax-7 1790 ax-9 1822
ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 ax-ext 2435 ax-sep 4573 ax-nul 4581 ax-pr 4691 |
This theorem depends on definitions:
df-bi 185 df-or 370
df-an 371 df-3an 975 df-tru 1398 df-ex 1613 df-nf 1617 df-sb 1740 df-eu 2286 df-mo 2287 df-clab 2443 df-cleq 2449 df-clel 2452 df-nfc 2607 df-ne 2654 df-ral 2812 df-rex 2813 df-rab 2816 df-v 3111 df-dif 3478 df-un 3480 df-in 3482 df-ss 3489 df-nul 3785 df-if 3942 df-sn 4030 df-pr 4032 df-op 4036 df-br 4453 df-opab 4511 df-id 4800 df-xp 5010 df-rel 5011 df-cnv 5012 df-co 5013 df-dm 5014 df-rn 5015 df-res 5016 df-ima 5017 df-fun 5595 df-fn 5596 df-f 5597 df-f1 5598 df-fo 5599 df-f1o 5600 |