AxisAlgebra.Facts: type of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
Lines 200-207 of bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&start_line=200&end_line=207

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend as Axis

type Facts<-rank: Nat, -axes: List<&2, Nat>> is Type:
  Certified{inverse_valid: {True{} == Axis.valid(rank, Axis.inverse_axes(rank, axes)) : Bool},
    inverse_selected: {Axis.inverse(rank, axes) == Some{Axis.inverse_axes(rank, axes)} : Maybe<&2, List<&2, Nat>>},
    inverse_restored: {Axis.inverse_axes(rank, Axis.inverse_axes(rank, axes)) == axes : List<&2, Nat>},
    lists: @-A: Data -> @+items: List<&2, A> -> @length: {List.length(&2, A, items) == rank : Nat} -> ListFacts<A, rank, axes, items>,
    product: @+dims: List<&2, Nat> -> @length: {List.length(&2, Nat, dims) == rank : Nat} -> {Shape.numel(Axis.order(Nat, dims, axes)) == Shape.numel(dims) : Nat},
    fit: @+dims: List<&2, Nat> -> @+coords: List<&2, Nat> -> @dl: {List.length(&2, Nat, dims) == rank : Nat} -> @cl: {List.length(&2, Nat, coords) == rank : Nat} ->
      {Shape.fit(Axis.order(Nat, dims, axes), Axis.order(Nat, coords, axes)) == Shape.fit(dims, coords) : Bool}}

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=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=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=fit
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend&name=ListFacts
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=inverse
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=inverse_axes
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=order
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend&name=valid