LAWS.decb_fits: law of lawful-fields@0.1.1.0
Import: import lawful-fields@0.1.1.0/LAWS.bend as LAWS
Lines 169-175 of lawful-fields@0.1.1.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=lawful-fields@0.1.1.0/LAWS.bend&start_line=169&end_line=175

import Base
import lawful-fields@0.1.1.0/defs.bend as F

# decb (with bound 2^32) is dec when the number fits.
law decb_fits:
  for xs: List<&2, U32>
  for n: Nat
  for h: {F.dec(xs) == Some{n} : Maybe<&2, Nat>}
  for hn: {Nat.is_lt(n, Nat.pow(2n, 32n)) == True{} : Bool}
  {F.decb(xs, Nat.pow(2n, 32n)) == Some{n} : Maybe<&2, Nat>}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=dec
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=decb
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/proof_list.bend&name=decb_fits