Whenever one fixes a vertex v ∈ ∈ V and two configurations φ and ψ outside v such that φ φ ( w ) ≥ ≥ ψ ψ ( w ) for all w ≠ v , the μ -conditional distribution of φ (v) given { φ φ ( w ) : w ≠ v } stochastically dominates the μ -conditional distribution of ψ (v) given { ψ ψ ( w ) : w ≠ v } .