PROOF.AP.size_eq: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 599-605 of bend-osdev-array@0.1.0.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&start_line=599&end_line=605

import Base

def AP.size_eq(-T: Data, t: AP.Tree<T>) -> {Array.size(T, AP.build(T, t)) == (AP.build(T, t), AP.size(T, t)) : Array<T> & U32}:
  match t:
    case APLeaf{x}:
      {==}
    case APNode{xs, ys}:
      %Equal.sym(Array<T> & U32, Array.size(T, AP.build(T, xs)), (AP.build(T, xs), AP.size(T, xs)), AP.size_eq(T, xs)) : {Array.size.node(T, AP.build(T, ys), _) == (ANode{AP.build(T, xs), AP.build(T, ys)}, U32.shl(AP.size(T, xs))) : Array<T> & U32}
      {==}

Uses (11):
  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=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=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.shl
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.Tree
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.build
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.size