def ns.dbl_double

bend-osdev-word64@0.1.1.0 · proof_shift.bend:191

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

191def ns.dbl_double(m: Nat, +x: Nat) -> {U.U32Nat.dbl(m, Nat.double(x)) == Nat.double(U.U32Nat.dbl(m, x)) : Nat}:
192  match m:
193    case 0n:
194      {==}
195    case 1n+ +p:
196      Equal.cong(Nat, Nat, v => Nat.double(v), U.U32Nat.dbl(p, Nat.double(x)), Nat.double(U.U32Nat.dbl(p, x)), ns.dbl_double(p, x))