GradientPROOF.held_checked_success: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 727-745 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=727&end_line=745

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
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/tensor/transform_PROOF.bend as TransformProof
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_success(+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},
  -fits: {Shape.dimensions(total_shape) == Shape.dimensions(shape) : List<&2, U32>},
  -agrees: {Totality.dimensions(contribution) == Shape.dimensions(shape) : List<&2, U32>}) ->
  Laws.Success<Gradient.held_checked(contribution, total_shape, total, same)>:
  match same:
    case False{}:
      Laws.Success{Empty.absurd({False{} == True{} : Bool},
        Arith.clash(Equal.trans(Bool, False{}, Layout.words_same(Shape.dimensions(total_shape), Shape.dimensions(shape)), True{}, decided,
          %fits : {Layout.words_same(Shape.dimensions(total_shape), _) == True{} : Bool}
          TransformProof.words_same_refl(Shape.dimensions(total_shape)))))}
    case True{}:
      Laws.Success{{\{Holds: proof => proof} :
        Holds<{Laws.accumulated(Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total})) == True{} : Bool}> ->
        {Laws.accumulated(Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total})) == True{} : Bool}}(
        loop_success(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total},
          Equal.trans(List<&2, U32>, Totality.dimensions(contribution), Shape.dimensions(shape), Shape.dimensions(total_shape), agrees,
            Equal.sym(List<&2, U32>, Shape.dimensions(total_shape), Shape.dimensions(shape), fits)),
          full_loop(total_shape)))}

Uses (23):
  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=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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/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=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=full_loop
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=loop_success
  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/storage/arith.bend&name=clash
  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
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&name=words_same_refl