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Mirrors > Home > ILE Home > Th. List > ssrexv | Unicode version |
Description: Existential quantification restricted to a subclass. (Contributed by NM, 11-Jan-2007.) |
Ref | Expression |
---|---|
ssrexv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssel 3164 |
. . 3
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2 | 1 | anim1d 336 |
. 2
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3 | 2 | reximdv2 2589 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-11 1517 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-rex 2474 df-in 3150 df-ss 3157 |
This theorem is referenced by: iunss1 3912 moriotass 5880 tfr1onlemssrecs 6364 tfrcllemssrecs 6377 fiss 7006 supelti 7031 ctssdclemn0 7139 ctssdc 7142 enumctlemm 7143 nninfwlpoimlemginf 7204 rerecapb 8830 lbzbi 9646 fiubm 10840 rexico 11262 alzdvds 11892 zsupcl 11980 infssuzex 11982 gcddvds 11996 dvdslegcd 11997 pclemub 12319 subrgdvds 13582 ssrest 14139 reeff1olem 14649 bj-charfunbi 15021 bj-nn0suc 15174 |
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