Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2098
⊆ wss 3940 𝒫
cpw 4594 ‘cfv 6533
fBascfbas 21211 Filcfil 23659 |
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 2695 ax-sep 5289 ax-nul 5296 ax-pow 5353 ax-pr 5417 |
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 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-rab 3425 df-v 3468 df-sbc 3770 df-csb 3886 df-dif 3943 df-un 3945 df-in 3947 df-ss 3957 df-nul 4315 df-if 4521 df-pw 4596 df-sn 4621 df-pr 4623 df-op 4627 df-uni 4900 df-br 5139 df-opab 5201 df-mpt 5222 df-id 5564 df-xp 5672 df-rel 5673 df-cnv 5674 df-co 5675 df-dm 5676 df-rn 5677 df-res 5678 df-ima 5679 df-iota 6485 df-fun 6535 df-fv 6541 df-fbas 21220 df-fil 23660 |
This theorem is referenced by: isfil2
23670 infil
23677 filunibas
23695 trfg
23705 isufil2
23722 filssufilg
23725 ssufl
23732 ufileu
23733 filufint
23734 uffixfr
23737 elflim
23785 fclsfnflim
23841 flimfnfcls
23842 metust
24377 cfilresi
25133 cmetss
25154 |