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Mirrors > Home > ILE Home > Th. List > dveel2 | Unicode version |
Description: Quantifier introduction when one pair of variables is distinct. (Contributed by NM, 2-Jan-2002.) |
Ref | Expression |
---|---|
dveel2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1491 | . 2 | |
2 | ax-17 1491 | . 2 | |
3 | elequ2 1676 | . 2 | |
4 | 1, 2, 3 | dvelimf 1968 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1314 |
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 589 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-14 1477 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 |
This theorem is referenced by: (None) |
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