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Mirrors > Home > MPE Home > Th. List > iunss2 | Structured version Visualization version Unicode version |
Description: A subclass condition on
the members of two indexed classes ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
iunss2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssiun 4320 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | ralimi 2781 |
. 2
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3 | iunss 4319 |
. 2
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4 | 2, 3 | sylibr 216 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2581 df-ral 2742 df-rex 2743 df-v 3047 df-in 3411 df-ss 3418 df-iun 4280 |
This theorem is referenced by: iunxdif2 4326 oaass 7262 odi 7280 omass 7281 oelim2 7296 cotrclrcl 36334 founiiun 37446 founiiun0 37465 ovnsubaddlem1 38392 |
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