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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 1421 | . 2 | |
2 | nfv 1421 | . 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 2594 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 w3a 885 wceq 1243 wex 1381 wcel 1393 cvv 2557 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-v 2559 |
This theorem is referenced by: ceqsex3v 2596 ceqsex4v 2597 |
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