MatmulPROOF.plan_left_status: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 1119-1130 of bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&start_line=1119&end_line=1130

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
import bendtorch-core@0.1.0.0/src/tensor/math_totality.bend as Totality

def plan_left_status(dimensions: List<&2, U32>, +left: Shape.Shape, +right: Shape.Shape,
  -same: {dimensions == Shape.dimensions(left) : List<&2, U32>}, -valid: Totality.MatrixInputs<left, right>) ->
  PlanStatus<left, right, Matrix.plan_left(left, right, dimensions, same)>:
  match dimensions:
    case +rows <> +inner <> Nil{}:
      plan_right_status(Shape.dimensions(right), left, right, rows, inner, Equal.sym(List<&2, U32>, [rows, inner], Shape.dimensions(left), same), {==}, valid)
    case Nil{}:
      PlanStatus{Empty.absurd({False{} == True{} : Bool}, {\{Totality.Impossible: empty => empty} : Totality.Impossible -> Empty}(rank_clash(left, right, Nil{}, same, {==}, valid)))}
    case head <> Nil{}:
      PlanStatus{Empty.absurd({False{} == True{} : Bool}, {\{Totality.Impossible: empty => empty} : Totality.Impossible -> Empty}(rank_clash(left, right, [head], same, {==}, valid)))}
    case first <> second <> third <> rest:
      PlanStatus{Empty.absurd({False{} == True{} : Bool}, {\{Totality.Impossible: empty => empty} : Totality.Impossible -> Empty}(rank_clash(left, right, first <> second <> third <> rest, same, {==}, valid)))}

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=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/math_totality.bend&name=Impossible
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/math_totality.bend&name=MatrixInputs
  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=PlanStatus
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=plan_right_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=rank_clash