GradientPROOF.step_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 640-652 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=640&end_line=652

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_success(+shape: Shape.Shape, +index: U32, state: Gradient.State<shape>,
  -fits: {Totality.dimensions(state_contribution(shape, state)) == Shape.dimensions(shape) : List<&2, U32>},
  -inside: {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}) ->
  Holds<{step_continued(shape, Gradient.step(shape, index, state)) == True{} : Bool}>:
  Gradient.State{owner, total} = state
  contribution_success(shape, index, total, Core.read_dynamic(owner, index),
    {\{ElementwiseProof.DynamicReadSuccess: successful => successful} : ElementwiseProof.DynamicReadSuccess<owner, index> ->
      {ElementwiseProof.dynamic_read_succeeded(Core.read_dynamic(owner, index)) == True{} : Bool}}(
      ElementwiseProof.dynamic_read_success(owner, index,
        %Equal.sym(List<&2, U32>, Totality.dimensions(owner), Shape.dimensions(shape), fits) :
          {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(_)) == True{} : Bool}
        inside)),
    inside)

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  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_PROOF.bend&name=Holds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=contribution_success
  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_continued
  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=logical_numel
  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=DynamicReadSuccess
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=dynamic_read_succeeded
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=dynamic_read_success
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_totality.bend&name=dimensions