PROOF.AP.of_list_size.go: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 1543-1548 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=1543&end_line=1548

import Base
import bend-osdev-array@0.1.0.1/array.bend as A

def AP.of_list_size.go(-T: Data, +d: Nat, +xs: List<&2, T>, +f: T) -> {Array.size(T, A.Arrays.of_list(T, d, xs, f)) == (A.Arrays.of_list(T, d, xs, f), U32.shln(1, d)) : Array<T> & U32}:
  +t = AP.tof(T, d, xs, f)
  %AP.ol_sym(T, d, xs, f) : {Array.size(T, _) == (_, U32.shln(1, d)) : Array<T> & U32}
  %Equal.sym(Array<T> & U32, Array.size(T, AP.build(T, t)), (AP.build(T, t), AP.size(T, t)), AP.size_eq(T, t)) : {_ == (AP.build(T, t), U32.shln(1, d)) : Array<T> & U32}
  %Equal.sym(U32, AP.size(T, t), U32.shln(1, d), AP.size_perf(T, d, t, AP.tof_perf(T, d, xs, f))) : {(AP.build(T, t), _) == (AP.build(T, t), U32.shln(1, d)) : Array<T> & U32}
  {==}

Uses (17):
  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=Equal.sym
  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=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.shln
  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.ol_sym
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.size
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.size_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.size_perf
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.tof
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.tof_perf
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.of_list