PROOF.AP.double_zero: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 107-112 of bend-osdev-array@0.1.0.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&start_line=107&end_line=112

import Base

def AP.double_zero(x: Nat, e: {Nat.double(x) == 0n : Nat}) -> {x == 0n : Nat}:
  match x:
    case 0n:
      {==}
    case 1n+p:
      Empty.absurd({1n+p == 0n : Nat}, AP.sz(1n+Nat.double(p), e))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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-array@0.1.0.1/PROOF.bend&name=AP.sz