MatmulPROOF.dot_decision_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 758-774 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=758&end_line=774

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/reduction_PROOF.bend as MathProof
import bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend as TransformTotality
import bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend as Coordinates

def dot_decision_status(+fuel: Nat, +left: Shape.Shape, +right: Shape.Shape, +row: U32, +column: U32, +cursor: Nat, +accumulator: F32,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(U32.from_nat(cursor)), cursor)>, a: Core.Tensor<left>, b: Core.Tensor<right>,
  -exact: {U32.to_nat(U32.from_nat(cursor)) == cursor : Nat},
  -left_fits: Coordinates.Fits(Shape.extents(left), [U32.to_nat(row), U32.to_nat(U32.from_nat(cursor))]),
  -right_fits: Coordinates.Fits(Shape.extents(right), [U32.to_nat(U32.from_nat(cursor)), U32.to_nat(column)]),
  -rec: @a: Core.Tensor<left> -> @b: Core.Tensor<right> -> @+value: F32 -> Totality.Status<Matrix.Error, Core.Tensor<left> & Core.Tensor<right> & F32,
    Matrix.natural_dot(fuel, left, right, a, b, row, column, 1n+cursor, value)>) ->
  Totality.Status<Matrix.Error, Core.Tensor<left> & Core.Tensor<right> & F32, Matrix.dot_decided(left, right,
    a => b => value => Matrix.natural_dot(fuel, left, right, a, b, row, column, 1n+cursor, value), a, b, row, column, cursor, U32.from_nat(cursor), accumulator, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      Totality.Status{Empty.absurd({False{} == True{} : Bool}, MathProof.conversion_clash(U32.to_nat(U32.from_nat(cursor)), cursor, exact, equal))}
    case Shape.BTrue{equal}:
      dot_left_status(fuel, left, right, row, column, cursor, accumulator, Core.read_coordinate(left, a, [row, U32.from_nat(cursor)]), b,
        {\{Totality.ReadStatus: successful => successful} : Totality.ReadStatus<left, Core.read_coordinate(left, a, [row, U32.from_nat(cursor)])> ->
          {TransformTotality.read_succeeded(left, Core.read_coordinate(left, a, [row, U32.from_nat(cursor)])) == True{} : Bool}}(
            coordinate_read_status(left, a, [row, U32.from_nat(cursor)], left_fits)), right_fits, rec)

Uses (25):
  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=F32
  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.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  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=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/coordinate_proofs.bend&name=Fits
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  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=extents
  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/core.bend&name=read_coordinate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/math_totality.bend&name=ReadStatus
  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=dot_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=natural_dot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=coordinate_read_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=dot_left_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&name=conversion_clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_totality.bend&name=read_succeeded