GatherPROOF.read_entry: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend as GatherPROOF
Lines 296-304 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=296&end_line=304

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/shape/plan_proofs.bend as Plans
import bendtorch-core@0.1.0.0/src/tensor/parallel_proofs.bend as Generic

# The entry read is the one the index array holds there.
def read_entry(+di: Nat, -I: Array<U32>, +e: Nat, +j: U32,
  -read: {Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(e))) == Some{j} : Maybe<&2, U32>},
  -index_valid: Model.Balanced(U32, di, I)) ->
  Generic.Fact<{Refinement.second(U32, Array.get(U32, I, U32.from_nat(e))) == j : U32}>:
  Generic.Fact{Plans.some_injective(U32, Refinement.second(U32, Array.get(U32, I, U32.from_nat(e))), j,
    Equal.trans(Maybe<&2, U32>, Some{Refinement.second(U32, Array.get(U32, I, U32.from_nat(e)))},
      Model.observe(U32, di, I, Refinement.route(di, U32.from_nat(e))), Some{j},
      Refinement.law_get_refines(U32, di, I, U32.from_nat(e), index_valid), 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=Array.get
  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/shape/plan_proofs.bend&name=some_injective
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=Balanced
  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=law_get_refines
  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/storage/refinement.bend&name=second
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel_proofs.bend&name=Fact