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Mirrors > Home > ILE Home > Th. List > ceqsex2v | Unicode version |
Description: Elimination of two existential quantifiers, using implicit substitution. (Contributed by Scott Fenton, 7-Jun-2006.) |
Ref | Expression |
---|---|
ceqsex2v.1 | |
ceqsex2v.2 | |
ceqsex2v.3 | |
ceqsex2v.4 |
Ref | Expression |
---|---|
ceqsex2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . 2 | |
2 | nfv 1508 | . 2 | |
3 | ceqsex2v.1 | . 2 | |
4 | ceqsex2v.2 | . 2 | |
5 | ceqsex2v.3 | . 2 | |
6 | ceqsex2v.4 | . 2 | |
7 | 1, 2, 3, 4, 5, 6 | ceqsex2 2726 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 w3a 962 wceq 1331 wex 1468 wcel 1480 cvv 2686 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 |
This theorem is referenced by: ceqsex3v 2728 ceqsex4v 2729 |
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