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Mirrors > Home > ILE Home > Th. List > rabeq | Unicode version |
Description: Equality theorem for restricted class abstractions. (Contributed by NM, 15-Oct-2003.) |
Ref | Expression |
---|---|
rabeq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2282 |
. 2
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2 | nfcv 2282 |
. 2
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3 | 1, 2 | rabeqf 2679 |
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 |
This theorem is referenced by: rabeqdv 2683 rabeqbidv 2684 rabeqbidva 2685 difeq1 3192 ifeq1 3482 ifeq2 3483 elfvmptrab 5524 pmvalg 6561 unfiexmid 6814 ssfirab 6830 supeq2 6884 iooval2 9728 fzval2 9824 lcmval 11780 lcmcllem 11784 lcmledvds 11787 clsfval 12309 |
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