LAWS.count_cons: law of bend-prot@0.1.0.0
Import: import bend-prot@0.1.0.0/LAWS.bend as LAWS
Lines 90-96 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=90&end_line=96

import Base
import bend-prot@0.1.0.0/geom.bend as G
import bend-prot@0.1.0.0/protein.bend as P
import bend-prot@0.1.0.0/topology.bend as T

# Counting a cons cell is the head hit plus the count of the tail.
law count_cons:
  for h: P.Atom
  for t: List<&2, P.Atom>
  for qp: G.Vec3
  for c2: F32
  {T.count_below(h <> t, qp, c2) == Nat.add(T.count_below(t, qp, c2), T.head_hit_nat(h, qp, c2)) : Nat}

Uses (8):
  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=Nat.add
  https://jend.leeeet.dev/definition.txt?path=bend-prot@0.1.0.0/geom.bend&name=Vec3
  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/topology.bend&name=count_below
  https://jend.leeeet.dev/definition.txt?path=bend-prot@0.1.0.0/topology.bend&name=head_hit_nat