ConstructionContractPROOF.retained_length: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/construction_contract_PROOF.bend as ConstructionContractPROOF
Lines 290-296 of bendtorch-core@0.1.0.0/src/tensor/construction_contract_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/construction_contract_PROOF.bend&start_line=290&end_line=296

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/allocation_spec.bend as Allocation
import bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend as AllocationProof
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion
import bendtorch-core@0.1.0.0/src/tensor/observation.bend as Observation

def retained_length(+shape: Shape.Shape, +fill: F32, +index: U32) ->
  {Observation.after_length(shape, index, Core.new(shape, fill)) == Some{Shape.logical_numel(Shape.dimensions(shape))} : Maybe<&2, Nat>}:
  result_length(shape, index, Storage.new(Shape.count(shape), fill),
    Equal.trans(Maybe<&2, Nat>, Allocation.storage_length(Storage.new(Shape.count(shape), fill)), Some{U32.to_nat(Shape.count(shape))}, Some{Shape.elements(shape)},
      AllocationProof.storage_new(Shape.count(shape), fill, Conversion.shape_count_within(shape)),
      Equal.cong(Nat, Maybe<&2, Nat>, number => Some{number}, U32.to_nat(Shape.count(shape)), Shape.elements(shape), Conversion.shape_count_exact(shape))),
    stored_after_length(shape, fill, index))

Uses (21):
  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.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  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.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=count
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=elements
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=new
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend&name=storage_new
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/allocation_spec.bend&name=storage_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/construction_contract_PROOF.bend&name=result_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/construction_contract_PROOF.bend&name=stored_after_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=new
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/observation.bend&name=after_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=shape_count_exact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=shape_count_within