LAWS.digits_view: law of lawful-fields@0.1.1.0
Import: import lawful-fields@0.1.1.0/LAWS.bend as LAWS
Lines 90-100 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=90&end_line=100

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

# digits says the bytes are one or more decimal digits, a number of any size
# (num answers None both for non-numbers and for numbers of 2^32 or more).
law digits_view:
  for b: D.Bytes
  for d: Nat
  for from: U32
  for to: U32
  for h: {D.ok(b, d) == True{} : Bool}
  for hft: {U32.is_le(from, to) == True{} : Bool}
  for ht: {Nat.is_le(U32.to_nat(to), D.size(b)) == True{} : Bool}
  {Pair.snd(D.Bytes, Bool, C.digits(b, from, to)) == F.all_digits(D.slice(D.view(b), U32.to_nat(from), Nat.sub(U32.to_nat(to), U32.to_nat(from)))) : Bool}

Uses (17):
  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.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.snd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=Bytes
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=ok
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=size
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=slice
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=view
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=bmirror
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/PROOF.bend&name=digits_view.go
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=all_digits
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/fields.bend&name=digits