PROOF.AP.index_of_u32.go: def of bend-osdev-array@0.1.0.1
Import: import bend-osdev-array@0.1.0.1/PROOF.bend as PROOF
Lines 1759-1762 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=1759&end_line=1762

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

def AP.index_of_u32.go(+d: Nat, +i: U32, hi: {Nat.is_lt(U32.to_nat(i), A.Arrays.slots(d)) == True{} : Bool}) -> {A.Arrays.index(d, i) == U32.to_nat(i) : Nat}:
  %Equal.sym(U32, U32.sub(U32.shln(1, d), 1), U32{AP.lm(32n, d)}, AP.mask_lm(d)) : {U32.to_nat(U32.and(i, _)) == U32.to_nat(i) : Nat}
  %Equal.sym(U32, U32.and(i, U32{AP.lm(32n, d)}), i, AP.u32_and_id(i, d, hi)) : {U32.to_nat(_) == U32.to_nat(i) : Nat}
  {==}

Uses (14):
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shln
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.lm
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.mask_lm
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/PROOF.bend&name=AP.u32_and_id
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.index
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-array@0.1.0.1/array.bend&name=Arrays.slots