TransformPROOF.step_read_certificate: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 589-621 of bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&start_line=589&end_line=621

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms

def step_read_certificate(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +index: U32,
  -original_source: Core.Tensor<input>, original_target: Core.Tensor<Layout.output(input, axes, plan)>,
  +mapping: Layout.Mapping<input, axes, plan, index>,
  -map_exact: {Done{mapping} == Layout.map_index(input, axes, plan, index) : Result<&2, &2, Layout.Error, Layout.Mapping<input, axes, plan, index>>},
  lift: @-pair: Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>> ->
    {pair == Transforms.copy_read(input, axes, plan, index, source => target => (source, Done{target}), original_target,
      Core.read_flat(input, original_source, Layout.source_index(input, axes, plan, index, mapping))) :
        Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>} ->
    {pair == Transforms.copy_step(input, axes, plan, original_source, original_target, index) :
      Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>},
  certificate: Core.Read<input, original_source, Layout.source_index(input, axes, plan, index, mapping)>) ->
  Transforms.StepCertificate<input, axes, plan, index, original_source, original_target>:
  Core.Read{retained, result, exact} = certificate
  match result:
    case Fail{error}:
      Transforms.StepCertificate{(retained, Fail{Transforms.TensorError{error}}),
        lift((retained, Fail{Transforms.TensorError{error}}),
          Equal.cong(Core.Tensor<input> & Result<&2, &2, Core.Error, F32>,
            Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>,
            pair => Transforms.copy_read(input, axes, plan, index, source => target => (source, Done{target}), original_target, pair),
            (retained, Fail{error}), Core.read_flat(input, original_source, Layout.source_index(input, axes, plan, index, mapping)), exact)), Unit{}}
    case Done{+value}:
      step_target_info(input, axes, plan, index, original_source, original_target, mapping, value, map_exact,
        target_info(Layout.output(input, axes, plan), original_target, index, value), retained,
        pair => equality => lift(pair,
          Equal.trans(Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>,
            pair, Transforms.copy_read(input, axes, plan, index, source => target => (source, Done{target}), original_target, (retained, Done{value})),
            Transforms.copy_read(input, axes, plan, index, source => target => (source, Done{target}), original_target,
              Core.read_flat(input, original_source, Layout.source_index(input, axes, plan, index, mapping))), equality,
            Equal.cong(Core.Tensor<input> & Result<&2, &2, Core.Error, F32>,
              Core.Tensor<input> & Result<&2, &1, Transforms.Error, Core.Tensor<Layout.output(input, axes, plan)>>,
              read => Transforms.copy_read(input, axes, plan, index, source => target => (source, Done{target}), original_target, read),
              (retained, Done{value}), Core.read_flat(input, original_source, Layout.source_index(input, axes, plan, index, mapping)), exact))), exact)

Uses (26):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  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/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Read
  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=read_flat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Mapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=map_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=source_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&name=step_target_info
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&name=target_info
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=StepCertificate
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=copy_read
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=copy_step