TensorVjpPROOF.NTGoal: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_PROOF.bend as TensorVjpPROOF
Lines 653-670 of bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_PROOF.bend&start_line=653&end_line=670

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend as Contracts
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward
import bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend as Laws
import bendtorch-core@0.1.0.0/src/tensor/matmul.bend as Matrix
import bendtorch-core@0.1.0.0/src/tensor/dot_fold.bend as DotFold

# The record the MatmulNT VJP law concludes, for the plans the law names.
def NTGoal(+a: Nat, +b: Nat, +left: Shape.Shape, +right: Shape.Shape, +shape: Shape.Shape,
  +first: Matrix.Plan<shape, right>, +second: Matrix.Product<Matrix.Swapped{}, Matrix.Swapped{}, shape, left>,
  +fill: F32, +ops: List<&2, StorageLaws.Op>, +left_fill: F32, +left_ops: List<&2, StorageLaws.Op>,
  +right_fill: F32, +right_ops: List<&2, StorageLaws.Op>, pass: Backward.Pass) -> Type:
  Laws.MatmulPairContract<a, left, Contracts.matrix_rows(shape, right, first), Contracts.matrix_columns(shape, right, first),
    row => column => DotFold.dot_fold(Contracts.factors(row, column,
      Contracts.matrix_inner(shape, right, first), Contracts.matrix_columns(shape, right, first),
      shape, fill, ops, right, right_fill, right_ops, Contracts.matrix_inner(shape, right, first)), 0.0),
    b, right,
    Contracts.product_rows(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second),
    Contracts.product_columns(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second),
    row => column => DotFold.dot_fold(Contracts.product_factors(row, column, Matrix.Swapped{}, Matrix.Swapped{},
      Contracts.product_inner(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second),
      Contracts.product_rows(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second),
      Contracts.product_columns(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second),
      shape, fill, ops, left, left_fill, left_ops, Contracts.product_inner(Matrix.Swapped{}, Matrix.Swapped{}, shape, left, second)), 0.0),
    pass>

Uses (19):
  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=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Pass
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend&name=MatmulPairContract
  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/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=factors
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=matrix_columns
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=matrix_inner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=matrix_rows
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=product_columns
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=product_factors
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=product_inner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/LAWS.bend&name=product_rows
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/dot_fold.bend&name=dot_fold
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=Order
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=Product