U32half.hlf_double: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/u32half.bend as U32half
Lines 32-37 of bend-collections-laws-math@1.0.0.0/proofs/lib/u32half.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32half.bend&start_line=32&end_line=37

import Base

def hlf_double(+q: Nat) -> {hlf(Nat.double(q)) == q : Nat}:
  match q:
    case 0n:
      {==}
    case 1n+p:
      Equal.cong(Nat, Nat, n => 1n+n, hlf(Nat.double(p)), p, hlf_double(p))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.double
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/u32half.bend&name=hlf