Phc.dd_n: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/phc.bend as Phc
Lines 1205-1228 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/phc.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/phc.bend&start_line=1205&end_line=1228

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N

def dd_n(+n: Nat, +h: {Nat.is_lt(n, 10n) == True{} : Bool}) -> {U32.to_nat(U32.sub(U32.add(48, U32.from_nat(n)), 48)) == n : Nat}:
  match n:
    case 0n:
      {==}
    case 1n:
      {==}
    case 2n:
      {==}
    case 3n:
      {==}
    case 4n:
      {==}
    case 5n:
      {==}
    case 6n:
      {==}
    case 7n:
      {==}
    case 8n:
      {==}
    case 9n:
      {==}
    case 10n+r:
      Empty.absurd({U32.to_nat(U32.sub(U32.add(48, U32.from_nat(10n+r)), 48)) == 10n+r : Nat}, N.lt_zero_absurd(r, h))

Uses (9):
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=lt_zero_absurd