MatmulPROOF.plan_compatible_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 1029-1040 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=1029&end_line=1040

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/matmul.bend as Matrix
import bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend as MathProof
import bendtorch-core@0.1.0.0/src/shape/LAWS.bend as ShapeLaws

def plan_compatible_status(+left: Shape.Shape, +right: Shape.Shape, +rows: U32, +inner: U32, +right_inner: U32, +columns: U32,
  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(inner), U32.to_nat(right_inner))>,
  -le: {Shape.dimensions(left) == [rows, inner] : List<&2, U32>}, -re: {Shape.dimensions(right) == [right_inner, columns] : List<&2, U32>},
  -compatible: {U32.to_nat(inner) == U32.to_nat(right_inner) : Nat}, -supported: Shape.LE(Shape.logical_numel([rows, columns]), 1048576n)) ->
  PlanStatus<left, right, Matrix.plan_compatible(left, right, rows, inner, right_inner, columns, le, re, decision)>:
  match decision:
    case Shape.BFalse{equal}:
      PlanStatus{Empty.absurd({False{} == True{} : Bool}, MathProof.conversion_clash(U32.to_nat(inner), U32.to_nat(right_inner), compatible, equal))}
    case Shape.BTrue{equal}:
      plan_output_status(left, right, rows, inner, right_inner, columns, Shape.construct([rows, columns]), le, re,
        Lifecycle.natural_equal(U32.to_nat(inner), U32.to_nat(right_inner), equal),
        ShapeLaws.construction_complete([rows, columns], Unit{}, supported))

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=Nat.is_eq
  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=Base/base.bend&name=Unit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/LAWS.bend&name=construction_complete
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=LE
  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=construct
  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/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=natural_equal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul.bend&name=plan_compatible
  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_output_status
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&name=conversion_clash