Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 2979 | . 2 | |
2 | df-rab 2357 | . 2 | |
3 | 1, 2 | eqtr4i 2104 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wceq 1284 wcel 1433 cab 2067 crab 2352 cin 2972 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 ax-17 1459 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-cleq 2074 df-rab 2357 df-in 2979 |
This theorem is referenced by: nfin 3172 rabbi2dva 3174 bj-inex 10698 |
Copyright terms: Public domain | W3C validator |