TransformPROOF.canonical_step: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 819-828 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=819&end_line=828

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 canonical_step(-input: Shape.Shape, -axes: List<&2, U32>, -plan: Layout.Plan<input, axes>, +cursor: Nat, -index: U32,
  -before_source: Core.Tensor<input>, -before_target: Core.Tensor<Layout.output(input, axes, plan)>,
  -after_source: Core.Tensor<input>, -after_target: Core.Tensor<Layout.output(input, axes, plan)>,
  -candidate: {index == U32.from_nat(cursor) : U32}, -converted: {U32.to_nat(index) == cursor : Nat},
  -meaning: Transforms.StepMeaning(input, axes, plan, index, before_source, before_target, (after_source, Done{after_target}))) ->
  CanonicalStep<input, axes, plan, cursor, before_source, before_target, after_source, after_target>:
  CanonicalStep{Equal.trans(Nat, U32.to_nat(U32.from_nat(cursor)), U32.to_nat(index), cursor,
      Equal.cong(U32, Nat, U32.to_nat, U32.from_nat(cursor), index, Equal.sym(U32, index, U32.from_nat(cursor), candidate)), converted),
    %candidate : Transforms.StepMeaning(input, axes, plan, _, before_source, before_target, (after_source, Done{after_target}))
    meaning}

Uses (16):
  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.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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=U32.from_nat
  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/shape/core.bend&name=Shape
  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=Plan
  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/transform_PROOF.bend&name=CanonicalStep
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transforms.bend&name=StepMeaning