law double_add_sym
import bend-mathlib@0.8.1.0/nat.bend as Natimport Base
4801# Doubling distributes over addition: double (a + b) = double a + double b, reversed to rewrite toward the simple side.
4802law double_add_sym:
4803 for a: Nat
4804 for b: Nat
4805 {Nat.add(Nat.double(a), Nat.double(b)) == Nat.double(Nat.add(a, b)) : Nat}