ProofDigits.push_and: law of lawful-fields@0.1.1.0
Import: import lawful-fields@0.1.1.0/proof_digits.bend as ProofDigits
Lines 55-59 of lawful-fields@0.1.1.0/proof_digits.bend: https://jend.leeeet.dev/read.txt?path=lawful-fields@0.1.1.0/proof_digits.bend&start_line=55&end_line=59

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

law push_and:
  for +m: Maybe<&2, Nat>
  for +x: U32
  for +r: Bool
  {Bool.and(Maybe.is_some(&2, Nat, F.dec.push(m, F.digit(x))), r) == Bool.and(Bool.and(Maybe.is_some(&2, Nat, m), Bool.and(U32.is_ge(x, 48), U32.is_le(x, 57))), r) : Bool}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.is_some
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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_ge
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_le
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=dec.push
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=digit
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/defs.bend&name=digit.if
  https://jend.leeeet.dev/definition.txt?path=lawful-fields@0.1.1.0/proof_digits.bend&name=push_some