Lemire.fin_lt: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend as Lemire
Lines 58-64 of bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend&start_line=58&end_line=64

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N

def fin_lt(+hi: Nat, +k: Nat, +ok: Bool, +h: {Nat.is_lt(hi, k) == True{} : Bool}) -> {Nat.add(hit_acc(hi, k, ok), 1n) == 1n : Nat}:
  match ok:
    case True{}:
      %Equal.sym(Bool, Nat.is_eq(hi, k), False{}, N.is_eq_lt(hi, k, h)) : {Nat.add(b2n(_), 1n) == 1n : Nat}
      {==}
    case False{}:
      {==}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=is_eq_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend&name=b2n
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/lemire.bend&name=hit_acc