U64.Add.modular: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/spec/math/u64.bend as U64
Lines 41-43 of bend-collections-laws-crypto@1.0.0.0/spec/math/u64.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/u64.bend&start_line=41&end_line=43

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/numeric.bend as N
import bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend as U

# addition modulo 2^64
def Add.modular(+a: U.U64, +b: U.U64) -> Type:
  {bits(U.add(a, b)) == N.from_nat(64n, Nat.add(N.unsigned(64n, bits(a)), N.unsigned(64n, bits(b)))) : Word(64n)}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/numeric.bend&name=from_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/numeric.bend&name=unsigned
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/u64.bend&name=bits
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend&name=U64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend&name=add