GradientPROOF.step_retains: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 201-211 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=201&end_line=211

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/elementwise_totality.bend as Totality
import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwiseProof
import bendtorch-core@0.1.0.0/src/autograd/gradient.bend as Gradient

def step_retains(-shape: Shape.Shape, +index: U32, state: Gradient.State<shape>) ->
  Holds<Totality.SameSource(state_contribution(shape, state), step_owner(shape, Gradient.step(shape, index, state)))>:
  Gradient.State{contribution, total} = state
  Holds{{\{ElementwiseProof.SourceModel: same =>
    {\{Holds: proof => proof} :
      Holds<Totality.SameSource(contribution, step_owner(shape, Gradient.step_contribution(shape, index, total, Core.read_dynamic(contribution, index))))> ->
      Totality.SameSource(contribution, step_owner(shape, Gradient.step_contribution(shape, index, total, Core.read_dynamic(contribution, index))))}(
      contribution_retains(shape, index, total, contribution, Core.read_dynamic(contribution, index), same))} :
    ElementwiseProof.SourceModel<contribution, ElementwiseProof.dynamic_read_owner(Core.read_dynamic(contribution, index))> ->
    Totality.SameSource(contribution, step_owner(shape, Gradient.step_contribution(shape, index, total, Core.read_dynamic(contribution, index))))}(
    ElementwiseProof.dynamic_read_retains(contribution, index))}

Uses (14):
  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=step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient.bend&name=step_contribution
  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=contribution_retains
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=state_contribution
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=step_owner
  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=read_dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=SourceModel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=dynamic_read_owner
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=dynamic_read_retains
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend&name=SameSource