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*Proposition:*
In order to prove `F`, it suffices to prove

(whereforallyinN:y=T=>F)

*Consequence:* in order to prove

we may proveforallx_{0}, ...,x_{n-1}:F

(whereforallx_{0}, ...,x_{n-1},yinN:y=T=>F)

*We introduce a variable over N to proceed by induction.*

Author: Wolfgang Schreiner

Last Modification: November 24, 1999