Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 394
= wceq 1533 ∈
wcel 2098 ∀wral 3051
{crab 3419 Vcvv 3463
⊆ wss 3941 𝒫
cpw 4599 ∪ cuni 4904 ∩ cint 4945 Oncon0 6365 |
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 2166 ax-ext 2696 ax-sep 5295 ax-nul 5302 ax-pr 5424 ax-un 7735 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-clab 2703 df-cleq 2717 df-clel 2802 df-ne 2931 df-ral 3052 df-rex 3061 df-rab 3420 df-v 3465 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-pss 3961 df-nul 4320 df-if 4526 df-pw 4601 df-sn 4626 df-pr 4628 df-op 4632 df-uni 4905 df-int 4946 df-br 5145 df-opab 5207 df-tr 5262 df-eprel 5577 df-po 5585 df-so 5586 df-fr 5628 df-we 5630 df-ord 6368 df-on 6369 |
This theorem is referenced by:
(None) |