AllocationPROOF.core_new: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend as AllocationPROOF
Lines 95-100 of bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend&start_line=95&end_line=100

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/word_conversion.bend as Conversion

def core_new(+shape: Shape.Shape, +fill: F32) ->
  {Allocation.tensor_length(shape, Core.new(shape, fill)) == Some{Shape.logical_numel(Shape.dimensions(shape))} : Maybe<&2, Nat>}:
  new_result_length(shape, 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)},
      storage_new(Shape.count(shape), fill, Conversion.shape_count_within(shape)),
      Equal.cong(Nat, Maybe<&2, Nat>, n => Some{n}, U32.to_nat(Shape.count(shape)), Shape.elements(shape), Conversion.shape_count_exact(shape))))

Uses (19):
  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.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=new_result_length
  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/allocation_spec.bend&name=tensor_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/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