+zero : { y : @$\mathbb{N}$@ } @$\rightarrow$@ y + zero @$\equiv$@ y +zero {zero} = refl +zero {suc y} = cong suc ( +zero {y} ) -- cong : @$\forall$@ (f : A @$\rightarrow$@ B) {x y} @$\rightarrow$@ x @$\equiv$@ y @$\rightarrow$@ f x @$\equiv$@ f y -- cong f refl = refl