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Mirrors > Home > ILE Home > Th. List > dfin5 | Unicode version |
Description: Alternate definition for the intersection of two classes. (Contributed by NM, 6-Jul-2005.) |
Ref | Expression |
---|---|
dfin5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-in 3047 | . 2 | |
2 | df-rab 2402 | . 2 | |
3 | 1, 2 | eqtr4i 2141 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1316 wcel 1465 cab 2103 crab 2397 cin 3040 |
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 1408 ax-gen 1410 ax-4 1472 ax-17 1491 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-rab 2402 df-in 3047 |
This theorem is referenced by: nfin 3252 rabbi2dva 3254 ssfidc 6791 znnen 11838 bj-inex 13032 |
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