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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 3184 |
. . . 4
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3 | 2 | anbi1i 709 |
. . 3
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4 | anass 661 |
. . 3
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5 | 3, 4 | bitri 257 |
. 2
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6 | 5 | rexbii2 2879 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-11 1937 ax-12 1950 ax-13 2104 ax-ext 2451 |
This theorem depends on definitions: df-bi 190 df-an 378 df-tru 1455 df-ex 1672 df-nf 1676 df-sb 1806 df-clab 2458 df-cleq 2464 df-clel 2467 df-nfc 2601 df-rex 2762 df-rab 2765 df-v 3033 |
This theorem is referenced by: wereu2 4836 wdom2d 8113 enfin2i 8769 infm3 10590 pmtrfrn 17177 pgpssslw 17344 ellspd 19437 1stcfb 20537 xkobval 20678 xkococn 20752 imasdsf1olem 21466 nbgraf1olem1 25248 rusgranumwlks 25763 cvmliftlem15 30093 wsuclem 30579 poimirlem4 32008 poimirlem26 32030 poimirlem27 32031 rexrabdioph 35708 hbtlem6 36059 |
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