ProofNum.ena_add: law of lawful-fields@0.1.1.0
Import: import lawful-fields@0.1.1.0/proof_num.bend as ProofNum
Lines 329-336 of lawful-fields@0.1.1.0/proof_num.bend: https://jend.leeeet.dev/read.txt?path=lawful-fields@0.1.1.0/proof_num.bend&start_line=329&end_line=336

import Base

law ena_add:
  for +acc: U32
  for +x: U32
  for +M: Nat
  for +emul: {U32.to_nat(U32.mul(acc, 10)) == Nat.mul(U32.to_nat(acc), U32.to_nat(10)) : Nat}
  for +ed: {U32.to_nat(U32.sub(x, 48)) == Nat.sub(U32.to_nat(x), 48n) : Nat}
  for +hb: {Nat.is_lt(Nat.add(Nat.mul(U32.to_nat(acc), 10n), Nat.sub(U32.to_nat(x), 48n)), M) == True{} : Bool}
  {Nat.is_lt(Nat.add(U32.to_nat(U32.mul(acc, 10)), U32.to_nat(U32.sub(x, 48))), M) == True{} : Bool}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat