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Mirrors > Home > ILE Home > Th. List > ceqsexv | Unicode version |
Description: Elimination of an existential quantifier, using implicit substitution. (Contributed by NM, 2-Mar-1995.) |
Ref | Expression |
---|---|
ceqsexv.1 |
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ceqsexv.2 |
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Ref | Expression |
---|---|
ceqsexv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1467 |
. 2
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2 | ceqsexv.1 |
. 2
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3 | ceqsexv.2 |
. 2
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4 | 1, 2, 3 | ceqsex 2660 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-nf 1396 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 df-v 2624 |
This theorem is referenced by: ceqsex3v 2664 gencbvex 2668 sbhypf 2671 euxfr2dc 2803 inuni 3999 eqvinop 4081 onm 4239 uniuni 4288 opeliunxp 4508 elvvv 4516 rexiunxp 4593 imai 4803 coi1 4961 abrexco 5554 opabex3d 5908 opabex3 5909 mapsnen 6584 xpsnen 6593 xpcomco 6598 xpassen 6602 |
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