Wrappers.n48v: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend as Wrappers
Lines 140-143 of bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend&start_line=140&end_line=143

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as W
import bend-collections-laws-math@1.0.0.0/src/math/w64.bend as X

def n48v(+one: Nat, +h1: {one == 1n : Nat}, +a: W.U64) -> {X.n48(a) == vv(a) : Nat}:
  match a:
    case W.U64{+l, +h}:
      Equal.cong(Nat, Nat, z => Nat.add(U32.to_nat(l), z), Nat.mul(Nat.mul(U32.to_nat(h), 65536n), 65536n), C.shift(32n, U32.to_nat(h)), s32(one, h1, U32.to_nat(h)))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend&name=s32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/wrappers.bend&name=vv
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=shift
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/w64.bend&name=n48