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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 454 |
. . 3
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3 | 2 | abbii 2293 |
. 2
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4 | df-rab 2464 |
. 2
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5 | df-rab 2464 |
. 2
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6 | 3, 4, 5 | 3eqtr4i 2208 |
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-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 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-rab 2464 |
This theorem is referenced by: rabbii 2723 bm2.5ii 4495 fndmdifcom 5622 cauappcvgprlemladdru 7654 cauappcvgprlemladdrl 7655 cauappcvgpr 7660 caucvgprlemcl 7674 caucvgprlemladdrl 7676 caucvgpr 7680 caucvgprprlemclphr 7703 ioopos 9948 gcdcom 11968 gcdass 12010 lcmcom 12058 lcmass 12079 |
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