Chapter 5.2, Problem 28E

bbe a fix integer and a fixed positive integer. Show that if $P\left(b\right),P\left(b+1\right),\mathrm{...},P\left(b+1\right)$are true and $\left[\left(b\right)\wedge \mathrm{...}\wedge P\left(k\right)\right]\to P\left(k+1\right)$is true for every integer $k\ge b+j$, thenP(n) is true for all integersnwith $n\ge b$.