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Principia mathematica, vol. 1 (of 3)

*33. DOMAINS, CONVERSE DOMAINS, AND FIELDS OF RELATIONS.

Project Gutenberg EPUB3 edition Whitehead, Alfred North and Russell, Bertrand
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The three following propositions are used in the theory of selections (*80, *83 and *85). The second of them is also used in the theory of greater and less (*117) and in the theory of transitive relations (*201).
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The converse of this proposition is not true.
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The two following propositions (*33·4·41) are very frequently used.

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Principia mathematica, vol. 1 (of 3), Project Gutenberg eBook #78050

*32. REFERENTS AND RELATA OF A GIVEN TERM WITH RESPECT TO A GIVEN RELATION. *34. THE RELATIVE PRODUCT OF TWO RELATIONS.