Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
⊆ wss 3949 𝒫
cpw 4603 ‘cfv 6544
fBascfbas 20932 Filcfil 23349 |
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-pow 5364 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-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 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-res 5689 df-ima 5690 df-iota 6496 df-fun 6546 df-fv 6552 df-fbas 20941 df-fil 23350 |
This theorem is referenced by: isfil2
23360 infil
23367 filunibas
23385 trfg
23395 isufil2
23412 filssufilg
23415 ssufl
23422 ufileu
23423 filufint
23424 uffixfr
23427 elflim
23475 fclsfnflim
23531 flimfnfcls
23532 metust
24067 cfilresi
24812 cmetss
24833 |