ProofU32.uq.lt_dbl_self: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/proof_u32.bend as ProofU32
Lines 187-196 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=187&end_line=196

import Base

def uq.lt_dbl_self(x: Nat, y: Nat, h: {Nat.is_lt(x, y) == True{} : Bool}) -> {Nat.is_lt(x, Nat.double(y)) == True{} : Bool}:
  match x y:
    case 0n 0n:
      Empty.absurd({Nat.is_lt(0n, 0n) == True{} : Bool}, uq.ft(h))
    case 0n 1n+yp:
      {==}
    case 1n+xp 0n:
      Empty.absurd({Nat.is_lt(1n+xp, 0n) == True{} : Bool}, uq.ft(h))
    case 1n+ +xp 1n+ +yp:
      uq.lt_succ_r(xp, Nat.double(yp), uq.lt_dbl_self(xp, yp, h))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/proof_u32.bend&name=uq.ft
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-algo@0.1.0.0/proof_u32.bend&name=uq.lt_succ_r