MatmulPROOF.created_status: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 989-1004 of bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&start_line=989&end_line=1004

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/matmul.bend as Matrix
import bendtorch-core@0.1.0.0/src/tensor/math_totality.bend as Totality
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion
import bendtorch-core@0.1.0.0/src/tensor/allocation_spec.bend as Allocation

def created_status(+left: Shape.Shape, +right: Shape.Shape, +output: Shape.Shape, +rows: U32, +inner: U32, +right_inner: U32, +columns: U32,
  result: Result<&2, &1, Core.Error, Core.Tensor<output>>, a: Core.Tensor<left>, b: Core.Tensor<right>,
  -done: Allocation.TensorDone<output, result>,
  -le: {Shape.dimensions(left) == [rows, inner] : List<&2, U32>}, -re: {Shape.dimensions(right) == [right_inner, columns] : List<&2, U32>},
  -oe: {Shape.dimensions(output) == [rows, columns] : List<&2, U32>}, -compatible: {U32.to_nat(inner) == U32.to_nat(right_inner) : Nat}) ->
  Totality.Status<Matrix.Error, Core.Tensor<left> & Core.Tensor<right> & Core.Tensor<output>, Matrix.created(left, right, output, inner, columns, a, b, result)>:
  match result:
    case Fail{error}:
      Totality.Status{{\{Allocation.TensorDone: tensor => exact =>
        Empty.absurd({False{} == True{} : Bool}, Shape.clash(Equal.cong(Result<&2, &1, Core.Error, Core.Tensor<output>>, Bool,
          Result.is_done(&2, &1, Core.Error, Core.Tensor<output>), Done{tensor}, Fail{error}, exact)))} :
            Allocation.TensorDone<output, Fail{error}> -> {False{} == True{} : Bool}}(done)}
    case Done{out}:
      product_loop_status(Shape.elements(output), left, right, output, rows, inner, right_inner, columns, 0n, a, b, out, le, re, oe, compatible,
        %Equal.sym(Nat, Nat.add(Shape.elements(output), 0n), Shape.elements(output), add_zero(Shape.elements(output))) : Shape.LE(_, Shape.elements(output))
        Shape.LE.from(Shape.elements(output), Shape.elements(output), Equal.sym(Bool, Nat.is_le(Shape.elements(output), Shape.elements(output)), True{}, Conversion.le_reflexive(Shape.elements(output)))))

Uses (28):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result.is_done
  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=LE
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=LE.from
  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=clash
  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/tensor/allocation_spec.bend&name=TensorDone
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/math_totality.bend&name=Status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=created
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=add_zero
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=product_loop_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=le_reflexive