GradientPROOF.held_checked_mapping: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 539-558 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=539&end_line=558

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/autograd/gradient.bend as Gradient
import bendtorch-core@0.1.0.0/src/autograd/gradient_LAWS.bend as Laws

def held_checked_mapping(+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}) ->
  Holds<Laws.Mapping(Gradient.Held{Core.Packed{total_shape, total}}, contribution, shape, Gradient.held_checked(contribution, total_shape, total, same))>:
  match same:
    case False{}:
      Holds{Unit{}}
    case True{}:
      finish_mapping(total_shape, shape, total, contribution,
        Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total}),
        {\{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)),
        {\{Holds: proof => proof} :
          Holds<LoopInv(total_shape, total, contribution, Nat.add(Shape.elements(total_shape), 0n),
            Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total}))> ->
          LoopInv(total_shape, total, contribution, Nat.add(Shape.elements(total_shape), 0n),
            Gradient.loop(Shape.elements(total_shape), total_shape, 0n, Gradient.State{contribution, total}))}(
          loop_inv(Shape.elements(total_shape), total_shape, total, contribution, 0n, Gradient.State{contribution, total},
            {\{Holds: proof => proof} : Holds<Inv(total_shape, total, contribution, 0n, total)> -> Inv(total_shape, total, contribution, 0n, total)}(
              initial_inv(total_shape, total, contribution)),
            property => {==})))

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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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/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=Mapping
  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=Inv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=LoopInv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=finish_mapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=initial_inv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=loop_inv
  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/layout.bend&name=words_same