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Mirrors > Home > ILE Home > Th. List > elabg | Unicode version |
Description: Membership in a class abstraction, using implicit substitution. Compare Theorem 6.13 of [Quine] p. 44. (Contributed by NM, 14-Apr-1995.) |
Ref | Expression |
---|---|
elabg.1 |
Ref | Expression |
---|---|
elabg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2299 | . 2 | |
2 | nfv 1508 | . 2 | |
3 | elabg.1 | . 2 | |
4 | 1, 2, 3 | elabgf 2854 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1335 wcel 2128 cab 2143 |
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-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-ext 2139 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-v 2714 |
This theorem is referenced by: elab2g 2859 intmin3 3834 finds 4559 elxpi 4602 ovelrn 5969 elfi 6915 indpi 7262 peano5nnnn 7812 peano5nni 8836 eltg 12463 eltg2 12464 |
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