PermuteValuesContractLAWS.transpose_contract: 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 24-33 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=24&end_line=33

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend as Transpose
import bendtorch-core@0.1.0.0/src/tensor/permute_values_records.bend as Records
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core

# `transpose_copy(a, b)` of a `Core.from_values` tensor with both axes in
# range is the permute contract with the axes that swap a and b.
law transpose_contract:
  for +input: Shape.Shape
  for +values: List<&2, F32>
  for counted: {List.length(&2, F32, values) == Shape.logical_numel(Shape.dimensions(input)) : Nat}
  for +a: U32
  for +b: U32
  for inside: {True{} == Transpose.valid(input, a, b) : Bool}
  Records.TransposeContract<input, values, a, b>

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=List.length
  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=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/permute_values.bend&name=transpose_contract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_values_records.bend&name=TransposeContract
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transpose_spec.bend&name=valid