F64fmod.modlt: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend as F64fmod
Lines 623-628 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64fmod.bend&start_line=623&end_line=628

import Base
import bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend as MS
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend as FL

def modlt(+n: Nat, +V: Nat, +hne: {Nat.is_eq(V, 0n) == False{} : Bool}) -> {Nat.is_lt(Nat.mod(n, V), V) == True{} : Bool}:
  match V:
    case 0n:
      Empty.absurd({Nat.is_lt(Nat.mod(n, 0n), 0n) == True{} : Bool}, FL.true_ne_false(hne))
    case 1n+ +vp:
      MS.divmod_lt(n, vp)

Uses (8):
  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.is_eq
  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.mod
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend&name=divmod_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64light.bend&name=true_ne_false