*82. SELECTIONS FROM RELATIVE PRODUCTS.
Project Gutenberg EPUB3 edition
Whitehead, Alfred North and Russell, Bertrand
Summary of *82.
The propositions contained in this number are not much used except in connection with the associative law for cardinal multiplication, but they have a certain intrinsic interest. We prove in this number that, with a suitable hypothesis, ( results from by multiplying each member by , i.e.
*82·272.
Also under a suitable hypothesis the domains of ( are the domains of , i.e.
*82·32.
In the applications of propositions of the present number in *85, and are replaced by and . By *62·26, ; thus we obtain relations between and .
*82·2.
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*82·26.
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*82·27.
*82·271.
*82·272.
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*82·291.
*82·3.
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*82·32.
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*82·33.