Block.drs_correct: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/block.bend as Block
Lines 18-25 of bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/block.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/block.bend&start_line=18&end_line=25

import Base
import bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8/block.bend as B
import bend-collections-laws-crypto@1.0.0.0/spec/math/random/chacha8rand.bend as S
import bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/rounds.bend as R

def drs_correct(+n: Nat, +v: B.Vector) -> {R.vec(drs(n, v)) == S.double_rounds(n, R.vec(v)) : List<&2, U32>}:
  match n:
    case 0n:
      {==}
    case 1n+p:
      Equal.trans(List<&2, U32>, R.vec(drs(p, B.dr(v))), S.double_rounds(p, R.vec(B.dr(v))), S.double_rounds(p, S.double_round(R.vec(v))),
        drs_correct(p, B.dr(v)),
        Equal.cong(List<&2, U32>, List<&2, U32>, x => S.double_rounds(p, x), R.vec(B.dr(v)), S.double_round(R.vec(v)), R.dr_correct(v)))

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  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=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/block.bend&name=drs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/rounds.bend&name=dr_correct
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/rounds.bend&name=vec
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random/chacha8rand.bend&name=double_round
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random/chacha8rand.bend&name=double_rounds
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8/block.bend&name=Vector
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8/block.bend&name=dr