Suppose there exists ρ > 0 such that given any N ∈ N there exist n > m ≥ N with n − m = 1 mod p such that d(x n ,x m ) ≥ ρ > 0. By the triangle inequality
Suppose there exists ρ > 0 such that given any N ∈ N there existn > m ≥ N with n − m = 1 mod p such that d(x n ,x m ) ≥ ρ > 0. By thetriangle inequality