Description: Distributive law for Cartesian product over intersection. Similar to Theorem 102 of Suppes p. 52. (Contributed by NM, 26-Sep-2004)
Ref | Expression | ||
---|---|---|---|
Assertion | xpindir | |
Step | Hyp | Ref | Expression |
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1 | inxp | |
|
2 | inidm | |
|
3 | 2 | xpeq2i | |
4 | 1 3 | eqtr2i | |