GatherPROOF.read_slot: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend as GatherPROOF
Lines 513-521 of bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&start_line=513&end_line=521

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement
import bendtorch-core@0.1.0.0/src/tensor/gather.bend as Gather
import bendtorch-core@0.1.0.0/src/tensor/gather_LAWS.bend as Laws

def read_slot(+kind: Gather.Lookup, +count: Nat, +inner: Nat, +o: Nat, +k: Nat, +r: Nat, +di: Nat, -I: Array<U32>, +j: U32,
  read: {Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(Gather.entry_of(kind, count, inner, o, k, r)))) == Some{j} : Maybe<&2, U32>}) ->
  {Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(Laws.entry_at(kind, count, inner, o, k, r)))) == Some{j} : Maybe<&2, U32>}:
  Equal.trans(Maybe<&2, U32>, Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(Laws.entry_at(kind, count, inner, o, k, r)))),
    Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(Gather.entry_of(kind, count, inner, o, k, r)))), Some{j},
    Equal.cong(Nat, Maybe<&2, U32>, e => Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(e))),
      Laws.entry_at(kind, count, inner, o, k, r), Gather.entry_of(kind, count, inner, o, k, r),
      Equal.sym(Nat, Gather.entry_of(kind, count, inner, o, k, r), Laws.entry_at(kind, count, inner, o, k, r), entry_same(kind, count, inner, o, k, r))),
    read)

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=route
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=Lookup
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather.bend&name=entry_of
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_LAWS.bend&name=entry_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&name=entry_same