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Principia mathematica, vol. 1 (of 3)

*80. ELEMENTARY PROPERTIES OF SELECTIONS.

Project Gutenberg EPUB3 edition Whitehead, Alfred North and Russell, Bertrand
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80·9·91 can be extended, by precisely similar proofs, to any finite number of variables , , .... They will, on occasion, be assumed for three or four variables, without fresh proofs.
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From this proposition, together with *80·26 (which gives , we shall obtain an inductive proof that exists whenever is a finite class contained in (cf. *120·611).

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

FOOTNOTES: *81. SELECTIONS FROM MANY-ONE RELATIONS.