W64sqrt.DN: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sqrt.bend as W64sqrt
Lines 72-73 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sqrt.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sqrt.bend&start_line=72&end_line=73

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend as WD

def DN(+one: Nat, +x: U32, +r: U32) -> Type:
  {Nat.is_le(sq(v(r)), v(x)) == True{} : Bool} & {Nat.is_lt(v(r), WD.sc(16n, one)) == True{} : Bool}

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=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=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/word.bend&name=sc
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sqrt.bend&name=sq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/w64sqrt.bend&name=v