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Mirrors > Home > ILE Home > Th. List > dveel2 | Unicode version |
Description: Quantifier introduction when one pair of variables is disjoint. (Contributed by NM, 2-Jan-2002.) |
Ref | Expression |
---|---|
dveel2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1506 | . 2 | |
2 | ax-17 1506 | . 2 | |
3 | elequ2 2133 | . 2 | |
4 | 1, 2, 3 | dvelimf 1995 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1333 |
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-in2 605 ax-io 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-14 2131 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 |
This theorem is referenced by: (None) |
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