GradientPROOF.held_checked_refusal: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 799-815 of bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&start_line=799&end_line=815

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/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend as Totality
import bendtorch-core@0.1.0.0/src/autograd/gradient.bend as Gradient
import bendtorch-core@0.1.0.0/src/autograd/gradient_LAWS.bend as Laws

def held_checked_refusal(+shape: Shape.Shape, contribution: Core.Dynamic, +total_shape: Shape.Shape, total: Core.Tensor<total_shape>, same: Bool,
  -decided: {same == Layout.words_same(Shape.dimensions(total_shape), Shape.dimensions(shape)) : Bool},
  -agrees: {Totality.dimensions(contribution) == Shape.dimensions(shape) : List<&2, U32>}) ->
  Holds<Laws.RefusalKeeps(Gradient.Held{Core.Packed{total_shape, total}}, contribution, Gradient.held_checked(contribution, total_shape, total, same))>:
  match same:
    case False{}:
      Holds{({==}, (property => {==}, ({==}, index => {==})))}
    case True{}:
      accumulated_keeps(Gradient.Held{Core.Packed{total_shape, total}}, contribution,
        Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total}),
        {\{Laws.Success: successful => successful} :
          Laws.Success<Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total})> ->
          {Laws.accumulated(Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total})) == True{} : Bool}}(
          held_checked_success(shape, contribution, total_shape, total, True{}, decided,
            {\{Holds: proof => proof} : Holds<{Shape.dimensions(total_shape) == Shape.dimensions(shape) : List<&2, U32>}> ->
              {Shape.dimensions(total_shape) == Shape.dimensions(shape) : List<&2, U32>}}(words_dimensions(total_shape, shape, decided)),
            agrees)))

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  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/autograd/gradient.bend&name=Slot
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=State
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=held_checked
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=loop
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_LAWS.bend&name=RefusalKeeps
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_LAWS.bend&name=Success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_LAWS.bend&name=accumulated
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=Holds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=accumulated_keeps
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=held_checked_success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=words_dimensions
  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/shape/core.bend&name=elements
  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/elementwise_totality.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=words_same