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Mirrors > Home > MPE Home > Th. List > rexrab | Structured version Visualization version Unicode version |
Description: Existential quantification over a class abstraction. (Contributed by Jeff Madsen, 17-Jun-2011.) (Revised by Mario Carneiro, 3-Sep-2015.) |
Ref | Expression |
---|---|
ralab.1 |
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Ref | Expression |
---|---|
rexrab |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralab.1 |
. . . . 5
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2 | 1 | elrab 3198 |
. . . 4
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3 | 2 | anbi1i 702 |
. . 3
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4 | anass 655 |
. . 3
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5 | 3, 4 | bitri 253 |
. 2
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6 | 5 | rexbii2 2889 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-11 1922 ax-12 1935 ax-13 2093 ax-ext 2433 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1449 df-ex 1666 df-nf 1670 df-sb 1800 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2583 df-rex 2745 df-rab 2748 df-v 3049 |
This theorem is referenced by: wereu2 4834 wdom2d 8100 enfin2i 8756 infm3 10575 pmtrfrn 17111 pgpssslw 17278 ellspd 19372 1stcfb 20472 xkobval 20613 xkococn 20687 imasdsf1olem 21400 nbgraf1olem1 25181 rusgranumwlks 25696 cvmliftlem15 30033 wsuclem 30520 poimirlem4 31956 poimirlem26 31978 poimirlem27 31979 rexrabdioph 35649 hbtlem6 36000 |
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