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Mirrors > Home > ILE Home > Th. List > elrabsf | Unicode version |
Description: Membership in a
restricted class abstraction, expressed with explicit
class substitution. (The variation elrabf 2842 has implicit substitution).
The hypothesis specifies that ![]() ![]() |
Ref | Expression |
---|---|
elrabsf.1 |
![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
elrabsf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfsbcq 2915 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | elrabsf.1 |
. . 3
![]() ![]() ![]() ![]() | |
3 | nfcv 2282 |
. . 3
![]() ![]() ![]() ![]() | |
4 | nfv 1509 |
. . 3
![]() ![]() ![]() ![]() | |
5 | nfsbc1v 2931 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | sbceq1a 2922 |
. . 3
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7 | 2, 3, 4, 5, 6 | cbvrab 2687 |
. 2
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8 | 1, 7 | elrab2 2847 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-rab 2426 df-v 2691 df-sbc 2914 |
This theorem is referenced by: mpoxopovel 6146 zsupcllemstep 11674 infssuzex 11678 |
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