def inverse_zero
import bend-collections-laws-math@1.0.0.0/proofs/math/natural/inverse.bend as Inverseimport Base
import bend-collections-laws-math@1.0.0.0/src/math/natural.bend as M
203def inverse_zero(+a: Nat) -> {M.mod_inverse(a, 0n) == Fail{M.ZeroDivision{}} : Result<&2, &2, M.MathError, Nat>}:
204 {==}