ProofTree.sz_sw: law of lawful-arrays@0.1.0.0
Import: import lawful-arrays@0.1.0.0/proof_tree.bend as ProofTree
Lines 312-322 of lawful-arrays@0.1.0.0/proof_tree.bend: https://jend.leeeet.dev/read.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&start_line=312&end_line=322

import Base

# A swap keeps the left spine, so the size.
law sz_sw:
  for -T: Data
  for +t: Tree<T>
  for +n: U32
  for +i: U32
  for +v: T
  for +z: Bool
  {Array.size(T, Pair.fst(Array<T>, T, Array.swap.go(T, fromT(T, t), n, i, v, z)))
    == (Pair.fst(Array<T>, T, Array.swap.go(T, fromT(T, t), n, i, v, z)),
        Pair.snd(Array<T>, U32, Array.size(T, fromT(T, t)))) : Array<T> & U32}

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.size
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.size.node
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.swap.go
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.swap.hi
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.swap.lo
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.fst
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair.snd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shl
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shr
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=Tree
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=fromT
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=hi_fst
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=lo_fst
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=size_eta