ProofBsearch.bq.lt_cancel: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/proof_bsearch.bend as ProofBsearch
Lines 257-262 of bend-osdev-algo@0.1.0.0/proof_bsearch.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/proof_bsearch.bend&start_line=257&end_line=262

import Base

def bq.lt_cancel(s: Nat, -r: Nat, -u: Nat) -> {Nat.is_lt(Nat.add(s, r), Nat.add(s, u)) == Nat.is_lt(r, u) : Bool}:
  match s:
    case 0n:
      {==}
    case 1n+p:
      bq.lt_cancel(p, r, u)

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt