Arith.double_add: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
Lines 37-43 of bendtorch-core@0.1.0.0/src/storage/arith.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&start_line=37&end_line=43

import Base

def double_add(a: Nat, -b: Nat) -> {Nat.add(Nat.double(a), Nat.double(b)) == Nat.double(Nat.add(a, b)) : Nat}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      %double_add(p, b) : {2n+Nat.add(Nat.double(p), Nat.double(b)) == 2n+_ : Nat}
      {==}

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.double