BatchedMatmulLAWS.batched_matmul_matrices: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/batched_matmul_LAWS.bend as BatchedMatmulLAWS
Lines 17-32 of bendtorch-core@0.1.0.0/src/tensor/batched_matmul_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/batched_matmul_LAWS.bend&start_line=17&end_line=32

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/batched_matmul.bend as Batched

# Two rank-2 operands are `Matrix.matmul` itself: the same result, words,
# errors and returned inputs, so every law of `matmul` holds for them and
# their words do not change.
law batched_matmul_matrices:
  for +left: Shape.Shape
  for +right: Shape.Shape
  for a: Core.Tensor<left>
  for b: Core.Tensor<right>
  for +rows: U32
  for +inner: U32
  for +right_inner: U32
  for +columns: U32
  for left_matrix: {Shape.dimensions(left) == [rows, inner] : List<&2, U32>}
  for right_matrix: {Shape.dimensions(right) == [right_inner, columns] : List<&2, U32>}
  {Batched.matmul(Core.Packed{left, a}, Core.Packed{right, b}) == Matrix.matmul(Core.Packed{left, a}, Core.Packed{right, b}) :
    Result<&2, &1, Matrix.Error, Core.Dynamic & Core.Dynamic & Core.Dynamic>}

Uses (13):
  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=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/batched_matmul.bend&name=matmul
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/batched_matmul.bend&name=routed
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  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/matmul.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=matmul