proofGears : {c10 : @$\mathbb{N}$@ } @$\rightarrow$@ Set
proofGears {c10} = whileTest {_} {_} {c10} (@$\lambda$@ n p1 @$\rightarrow$@  conversion1 n p1 (@$\lambda$@ n1 p2 @$\rightarrow$@ whileLoop' n1 p2 (@$\lambda$@ n2 @$\rightarrow$@  ( vari n2 @$\equiv$@ c10 ))))