Roots.no_fuel: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend as Roots
Lines 140-141 of bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend&start_line=140&end_line=141

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

def no_fuel(+lo: Nat, +hi: Nat, +hlt: {Nat.is_lt(lo, hi) == True{} : Bool}, +hf: {Nat.is_le(Nat.sub(hi, lo), 0n) == True{} : Bool}) -> Empty:
  N.lt_zero_absurd(0n, N.lt_le_trans(0n, Nat.sub(hi, lo), 0n, sub_pos(lo, hi, hlt), hf))

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=Empty
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=lt_le_trans
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=lt_zero_absurd
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend&name=sub_pos