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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 3108 | . 2 | |
2 | df-rab 2444 | . 2 | |
3 | 1, 2 | eqtr4i 2181 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1335 wcel 2128 cab 2143 crab 2439 cin 3101 |
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 1427 ax-gen 1429 ax-4 1490 ax-17 1506 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-cleq 2150 df-rab 2444 df-in 3108 |
This theorem is referenced by: nfin 3313 rabbi2dva 3315 ssfidc 6876 nninfdcex 11833 znnen 12114 nnmindc 12164 nnminle 12165 bj-inex 13469 |
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