def ur.r11

bend-osdev-u32@0.1.0.0 · PROOF.bend:1257

import Base
import bend-osdev-u32@0.1.0.0/u32.bend as U
import bend-osdev-u32@0.1.0.0/LAWS.bend as Laws

1257def ur.r11(+x0: Nat, +x1: Nat) -> {Nat.add(x0, U.U32Nat.dbl(x1, 0n)) == x0 : Nat}:
1258  %Equal.sym(Nat, U.U32Nat.dbl(x1, 0n), 0n, Laws.dbl_zero(x1)) : {Nat.add(x0, _) == x0 : Nat}
1259  %Equal.sym(Nat, Nat.add(x0, 0n), x0, Laws.nat_add_zero(x0)) : {_ == x0 : Nat}
1260  {==}