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Third Peano Axiom:

(F[x<- 0] /\ (forallxinN:F=>F[x<-x+1])) =>forallxinN:F.

*Proposition:* In order to prove

it suffices to proveforallxinN:F,

`F`[`x`<- 0],- (
**forall**`x`in**N**:`F`=>`F`[`x`<-`x`+1]).

Author: Wolfgang Schreiner

Last Modification: November 24, 1999