Cancellation theorems for reciprocity sheaves

We prove cancellation theorems for reciprocity sheaves and cube-invariant modulus sheaves with transfers of Kahn–Saito–Yamazaki, generalizing Voevodsky’s cancellation theorem for ${\mathbf{A}}^1$-invariant sheaves with transfers. As an application, we get some new formulas for internal hom’s of the sheaves ${\mathrm{\Omega }}^i$ of absolute K"ahler differentials.