def natural_valid_layout
bendtorch-core@0.1.0.0 · src/tensor/transpose_PROOF.bend:141
import bendtorch-core@0.1.0.0/src/tensor/transpose_PROOF.bend as TransposePROOF
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
import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as Algebra
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
141def natural_valid_layout(+shape: Shape.Shape, +axes: List<&2, U32>, accepted: {True{} == Axis.valid(Shape.rank_dimensions(Shape.dimensions(shape)), Shape.naturals(axes)) : Bool}) ->
142 {True{} == Layout.bijective(shape, axes) : Bool}:
143 %Equal.sym(Nat, Shape.rank_dimensions(axes), List.length(&2, Nat, Shape.naturals(axes)), Shape.rank_naturals(axes)) :
144 {True{} == Bool.and(Nat.is_eq(_, Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Layout.bounded(axes, Shape.rank(shape)), Layout.unique(axes))) : Bool}
145 %Equal.sym(Bool, Layout.unique(axes), Axis.unique(Shape.naturals(axes)), Algebra.unique(axes)) :
146 {True{} == Bool.and(Nat.is_eq(List.length(&2, Nat, Shape.naturals(axes)), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Layout.bounded(axes, Shape.rank(shape)), _)) : Bool}
147 %Equal.sym(Bool, Layout.bounded(axes, Shape.rank(shape)), Axis.bounded(Shape.naturals(axes), U32.to_nat(Shape.rank(shape))), Algebra.bounded(axes, Shape.rank(shape))) :
148 {True{} == Bool.and(Nat.is_eq(List.length(&2, Nat, Shape.naturals(axes)), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(_, Axis.unique(Shape.naturals(axes)))) : Bool}
149 %Equal.sym(Nat, U32.to_nat(Shape.rank(shape)), Shape.rank_dimensions(Shape.dimensions(shape)), Algebra.rank_exact(shape)) :
150 {True{} == Bool.and(Nat.is_eq(List.length(&2, Nat, Shape.naturals(axes)), Shape.rank_dimensions(Shape.dimensions(shape))), Bool.and(Axis.bounded(Shape.naturals(axes), _), Axis.unique(Shape.naturals(axes)))) : Bool}
151 accepted