0PKV Proposition 1 Each of the structure maps ι,m,ϵ,Δ\iota,m,\epsilon,\Delta is graded relative to the grading deg.{\mathrm{deg}}. Namely, deg(ι)=1,deg(m)=−1,deg(ϵ)=1,deg(Δ)=−1.{\mathrm{deg}}(\iota)=1,\hskip 21.68121pt{\mathrm{deg}}(m)=-1,\hskip 21.68121pt{\mathrm{deg}}(\epsilon)=1,\hskip 21.68121pt{\mathrm{deg}}(\Delta)=-1. (18)