MatmulLAWS.output_dimensions: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend as MatmulLAWS
Lines 201-214 of bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend&start_line=201&end_line=214

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/matmul.bend as Matrix

law output_dimensions:
  for -left: Shape.Shape
  for -right: Shape.Shape
  for +output: Shape.Shape
  for rows: U32
  for inner: U32
  for right_inner: U32
  for columns: U32
  for le: {Shape.dimensions(left) == [rows, inner] : List<&2, U32>}
  for re: {Shape.dimensions(right) == [right_inner, columns] : List<&2, U32>}
  for oe: {Shape.dimensions(output) == [rows, columns] : List<&2, U32>}
  for compatible: {U32.to_nat(inner) == U32.to_nat(right_inner) : Nat}
  {Shape.dimensions(Matrix.output_shape(left, right, Matrix.Plan{output, rows, inner, right_inner, columns, le, re, oe, compatible})) ==
    [rows, columns] : List<&2, U32>}

Uses (8):
  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=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=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/matmul.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=output_shape