PROOF.AP.get_set_same.go: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 736-745 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=736&end_line=745

import Base

def AP.get_set_same.go(-T: Data, -a: Array<T>, +i: U32, +v: T, r: &t: AP.Tree<T> -> {AP.build(T, t) == a : Array<T>}) -> {Pair.snd(Array<T>, T, Array.get(T, Array.set(T, a, i, v), i)) == v : T}:
  (+t, e) = r
  +n = AP.size(T, t)
  +j = AP.mask(n, i)
  +t2 = AP.set_top(T, t, i, v)
  %e : {Pair.snd(Array<T>, T, Array.get(T, Array.set(T, _, i, v), i)) == v : T}
  %Equal.sym(Array<T>, Array.set(T, AP.build(T, t), i, v), AP.build(T, t2), AP.set_top_eq(T, t, i, v)) : {Pair.snd(Array<T>, T, Array.get(T, _, i)) == v : T}
  %Equal.sym(Array<T> & T, Array.get(T, AP.build(T, t2), i), (AP.build(T, t2), AP.get_top(T, t2, i)), AP.get_top_eq(T, t2, i)) : {Pair.snd(Array<T>, T, _) == v : T}
  %Equal.sym(U32, AP.size(T, t2), n, AP.swap_size(T, t, n, j, v, AP.z(n, j))) : {AP.get_v(T, t2, _, AP.mask(_, i), AP.z(_, AP.mask(_, i))) == v : T}
  AP.get_swap_same(T, t, n, j, v, AP.z(n, j))

Uses (21):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Exists
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  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=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.get_swap_same
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.get_top
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.get_top_eq
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.get_v
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.mask
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.set_top
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.set_top_eq
  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.swap_size
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.z