PROOF.un.low_zero: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 1265-1270 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=1265&end_line=1270

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

def un.low_zero(k: Nat) -> {U.U32Nat.low(k, 0n) == 0n : Nat}:
  match k:
    case 0n:
      {==}
    case 1n+ +j:
      un.double_cong(U.U32Nat.low(j, 0n), 0n, un.low_zero(j))

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.double_cong
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/u32.bend&name=U32Nat.low