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Mirrors > Home > ILE Home > Th. List > rabbiia | Unicode version |
Description: Equivalent wff's yield equal restricted class abstractions (inference form). (Contributed by NM, 22-May-1999.) |
Ref | Expression |
---|---|
rabbiia.1 |
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Ref | Expression |
---|---|
rabbiia |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rabbiia.1 |
. . . 4
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2 | 1 | pm5.32i 450 |
. . 3
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3 | 2 | abbii 2256 |
. 2
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4 | df-rab 2426 |
. 2
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5 | df-rab 2426 |
. 2
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6 | 3, 4, 5 | 3eqtr4i 2171 |
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-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 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-rab 2426 |
This theorem is referenced by: rabbii 2675 bm2.5ii 4420 fndmdifcom 5534 cauappcvgprlemladdru 7488 cauappcvgprlemladdrl 7489 cauappcvgpr 7494 caucvgprlemcl 7508 caucvgprlemladdrl 7510 caucvgpr 7514 caucvgprprlemclphr 7537 ioopos 9763 gcdcom 11698 gcdass 11739 lcmcom 11781 lcmass 11802 |
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