MatmulProof.facts_left: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend as MatmulProof
Lines 77-89 of bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&start_line=77&end_line=89

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

def facts_left(+left: Shape.Shape, +right: Shape.Shape, dimensions: List<&2, U32>,
  same: {dimensions == Shape.dimensions(left) : List<&2, U32>}) ->
  Facts(left, right, Matrix.plan_left(left, right, dimensions, same)):
  match dimensions:
    case +rows <> +inner <> Nil{}:
      facts_right(left, right, rows, inner, Equal.sym(List<&2, U32>, [rows, inner], Shape.dimensions(left), same),
        Shape.dimensions(right), {==})
    case Nil{}:
      Unit{}
    case head <> Nil{}:
      Unit{}
    case first <> second <> third <> rest:
      Unit{}

Uses (9):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Unit
  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/contracts/matmul_proof.bend&name=Facts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&name=facts_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=plan_left