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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 |
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Ref | Expression |
---|---|
elabg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2319 |
. 2
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2 | nfv 1528 |
. 2
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3 | elabg.1 |
. 2
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4 | 1, 2, 3 | elabgf 2879 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-v 2739 |
This theorem is referenced by: elab2g 2884 intmin3 3871 finds 4599 elxpi 4642 ovelrn 6022 elfi 6969 indpi 7340 peano5nnnn 7890 peano5nni 8921 eltg 13488 eltg2 13489 |
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