PermuteValuesContractLAWS.permute_replayed: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permute_values_contract_LAWS.bend as PermuteValuesContractLAWS
Lines 35-51 of bendtorch-core@0.1.0.0/src/tensor/permute_values_contract_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_values_contract_LAWS.bend&start_line=35&end_line=51

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/permute_values_records.bend as Records
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms
import bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend as Replayed

# `permute_dynamic` of a replayed tensor, once `Layout.permutation` gives the
# plan, in the transport form of `broadcast_to_replayed`: for every P, if P
# holds for every result that hands the source back with the same words and
# gives an output of the plan's shape, replayed over +0.0, whose cell i holds
# the source's word at `permute_source(input, axes, i)`, then P holds for the
# call. The output is a replayed tensor, so a later family law applies to it.
law permute_replayed:
  for +input: Shape.Shape
  for +fill: F32
  for +ops: List<&2, StorageLaws.Op>
  for -fits: {Lifecycle.logical_length(Replayed.storage(input, fill, ops)) == Shape.logical_numel(Shape.dimensions(input)) : Nat}
  for +axes: List<&2, U32>
  for +plan: Layout.Plan<input, axes>
  for laid: {Layout.permutation(input, axes) == Done{plan} : Result<&2, &2, Layout.Error, Layout.Plan<input, axes>>}
  for -P: Core.Dynamic & Result<&2, &1, Transforms.Error, Core.Dynamic> -> Type
  for h: Records.PermutedWith(input, fill, ops, axes, plan, P)
  P(Transforms.permute_dynamic(Core.Packed{input, Core.TTensor{Replayed.storage(input, fill, ops), fits}}, axes))

Uses (21):
  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=Nat
  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=U32
  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/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=storage
  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=Tensor
  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=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=permutation
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_values.bend&name=permute_replayed
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_values_records.bend&name=PermutedWith
  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=permute_dynamic