PROOF.un.odd_even: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 2081-2090 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=2081&end_line=2090

import Base

def un.odd_even(a: Nat, b: Nat, e: {1n+Nat.double(a) == Nat.double(b) : Nat}) -> Empty:
  match a b:
    case 0n 0n:
      un.sz(0n, e)
    case 0n 1n+ +q:
      un.sz(Nat.double(q), Equal.sym(Nat, 0n, 1n+Nat.double(q), un.succ_inj(0n, 1n+Nat.double(q), e)))
    case 1n+ +p 0n:
      un.sz(2n+Nat.double(p), e)
    case 1n+ +p 1n+ +q:
      un.odd_even(p, q, un.succ_inj(1n+Nat.double(p), Nat.double(q), un.succ_inj(2n+Nat.double(p), 1n+Nat.double(q), e)))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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-u32@0.1.0.0/PROOF.bend&name=un.succ_inj
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.sz