MatmulLAWS.matmul_inner_error: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend as MatmulLAWS
Lines 249-264 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=249&end_line=264

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

# Two rank-2 operands whose inner extents differ fail with
# InnerDimensionMismatch, never with a rank or capacity error: [2, 3] @ [4, 2]
# is an inner mismatch.
law matmul_inner_error:
  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>}
  for mismatch: {U32.to_nat(inner) != U32.to_nat(right_inner) : Nat}
  {Matrix.matmul(Core.Packed{left, a}, Core.Packed{right, b}) == Fail{Matrix.InnerDimensionMismatch{}} : Result<&2, &1, Matrix.Error, Core.Dynamic & Core.Dynamic & Core.Dynamic>}

Uses (18):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  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=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=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/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=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=matmul
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=parallel_planned
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=plan_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=inner_left