PermuteBuildProof.word_below: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend as PermuteBuildProof
Lines 339-345 of bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&start_line=339&end_line=345

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion

def word_below(+shape: Shape.Shape, +other: Nat, +earlier: {Nat.is_lt(other, Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}) ->
  {U32.to_nat(U32.from_nat(other)) == other : Nat}:
  Conversion.natural_word_exact(other, Shape.count(shape),
    %Equal.sym(Nat, U32.to_nat(Shape.count(shape)), Shape.logical_numel(Shape.dimensions(shape)),
      Equal.trans(Nat, U32.to_nat(Shape.count(shape)), Shape.elements(shape), Shape.logical_numel(Shape.dimensions(shape)),
        Conversion.shape_count_exact(shape), Shape.elements_exact(shape))) : {Nat.is_le(other, _) == True{} : Bool}
    Conversion.lt_le(other, Shape.logical_numel(Shape.dimensions(shape)), earlier))

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  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/shape/core.bend&name=count
  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=elements
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=elements_exact
  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/word_conversion.bend&name=lt_le
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=natural_word_exact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=shape_count_exact