Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
= wceq 1533 ∈
wcel 2098 Vcvv 3468
∅c0 4317 ×
cxp 5667 (class class class)co 7404
↑m cmap 8819 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7721 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ral 3056 df-rex 3065 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-iun 4992 df-br 5142 df-opab 5204 df-mpt 5225 df-id 5567 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-iota 6488 df-fun 6538 df-fn 6539 df-f 6540 df-fv 6544 df-ov 7407 df-oprab 7408 df-mpo 7409 df-1st 7971 df-2nd 7972 df-map 8821 |
This theorem is referenced by: elmapi
8842 elmapssres
8860 mapsspm
8869 elmapresaun
8873 mapss
8882 ralxpmap
8889 mapdom1
9141 wemapwe
9691 isf34lem6
10374 mndvcl
22244 mndvass
22245 mndvlid
22246 mndvrid
22247 grpvlinv
22248 grpvrinv
22249 mhmvlin
22250 tposmap
22310 satfv1lem
34881 mapcod
41609 mapfzcons
42013 ovnhoilem2
45871 |