ProofU32.uq.half_dbl1: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/proof_u32.bend as ProofU32
Lines 528-533 of bend-osdev-algo@0.1.0.0/proof_u32.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/proof_u32.bend&start_line=528&end_line=533

import Base

def uq.half_dbl1(x: Nat) -> {uq.half(1n+Nat.double(x)) == x : Nat}:
  match x:
    case 0n:
      {==}
    case 1n+p:
      uq.succ_cong(uq.half(1n+Nat.double(p)), p, uq.half_dbl1(p))

Uses (4):
  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-osdev-algo@0.1.0.0/proof_u32.bend&name=uq.half
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/proof_u32.bend&name=uq.succ_cong