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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 3127 | . 2 | |
2 | df-rab 2457 | . 2 | |
3 | 1, 2 | eqtr4i 2194 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1348 wcel 2141 cab 2156 crab 2452 cin 3120 |
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 1440 ax-gen 1442 ax-4 1503 ax-17 1519 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-cleq 2163 df-rab 2457 df-in 3127 |
This theorem is referenced by: nfin 3333 rabbi2dva 3335 ssfidc 6912 suprzubdc 11907 nninfdcex 11908 nnmindc 11989 nnminle 11990 znnen 12353 bj-inex 13942 |
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