MatmulPROOF.zero_result: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 623-636 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=623&end_line=636

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
import bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend as Laws

def zero_result(+left: Shape.Shape, +right: Shape.Shape, -a: Core.Tensor<left>, -b: Core.Tensor<right>, +output: Shape.Shape, -end: Nat,
  result: Result<&2, &1, Matrix.Error, Core.Tensor<left> & Core.Tensor<right> & Core.Tensor<output>>,
  -source: Laws.SourceProduct<0, left, right, a, b, output, end, result>) -> Laws.ZeroResult<left, right, output, end, result>:
  match result:
    case Fail{error}:
      Laws.ZeroResult{unit => Unit{}}
    case Done{pair}:
      (ra, rb, out) = pair
      Laws.ZeroResult{unit =>
        prove : @source: Laws.SourceProduct<0, left, right, a, b, output, end,
          (Done{(ra, rb, out)} : Result<&2, &1, Matrix.Error, Core.Tensor<left> & Core.Tensor<right> & Core.Tensor<output>>)> ->
          Laws.ZeroPrefix<left, right, output, out, end> = \{Laws.SourceProduct: meaning =>
            zero_prefix(left, right, a, b, output, ra, rb, out, end, meaning(Unit{}))}
        prove(source)}

Uses (12):
  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=Sigma
  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/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_LAWS.bend&name=SourceProduct
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend&name=ZeroPrefix
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_LAWS.bend&name=ZeroResult
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&name=zero_prefix