LAWS.pair_sumd2_cons: law of bend-prot@0.1.0.0
Import: import bend-prot@0.1.0.0/LAWS.bend as LAWS
Lines 188-194 of bend-prot@0.1.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=bend-prot@0.1.0.0/LAWS.bend&start_line=188&end_line=194

import Base
import bend-prot@0.1.0.0/protein.bend as P
import bend-prot@0.1.0.0/rmsd.bend as R

# A pair-distance fold splits the head pair from the tail pairs.
law pair_sumd2_cons:
  for x: P.Atom
  for xt: List<&2, P.Atom>
  for y: P.Atom
  for yt: List<&2, P.Atom>
  {R.pair_sumd2(x <> xt, y <> yt) == R.pair_head(x, y, R.pair_sumd2(xt, yt)) : F32 & Nat}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  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=Pair
  https://jend.leeeet.dev/definition.txt?path=bend-prot@0.1.0.0/protein.bend&name=Atom
  https://jend.leeeet.dev/definition.txt?path=bend-prot@0.1.0.0/rmsd.bend&name=pair_head
  https://jend.leeeet.dev/definition.txt?path=bend-prot@0.1.0.0/rmsd.bend&name=pair_sumd2