GradientPROOF.step_inv: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 421-431 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=421&end_line=431

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/autograd/gradient.bend as Gradient

def step_inv(+shape: Shape.Shape, -original: Core.Tensor<shape>, -contribution: Core.Dynamic, +cursor: Nat, +index: U32,
  -exact: {U32.to_nat(index) == cursor : Nat}, state: Gradient.State<shape>,
  -inv: Inv(shape, original, contribution, cursor, state_total(shape, state)),
  -same: Totality.SameSource(contribution, state_contribution(shape, state))) ->
  Holds<StepInv(shape, original, contribution, cursor, Gradient.step(shape, index, state))>:
  Gradient.State{current, total} = state
  contribution_inv(shape, original, contribution, cursor, index, total, current, Core.read_dynamic(current, index), exact,
    {\{Core.DynamicSourceRead: meaning => meaning} : Core.DynamicSourceRead<current, index> ->
      {Core.dynamic_read_value(Core.read_dynamic(current, index)) == Core.checked_observe_dynamic(current, index) : Maybe<&2, F32>}}(
      Core.dynamic_source_read_model(current, index)),
    same, inv)

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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=Inv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=StepInv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=contribution_inv
  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=state_total
  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=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=DynamicSourceRead
  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/core.bend&name=checked_observe_dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=dynamic_read_value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=dynamic_source_read_model
  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_totality.bend&name=SameSource