PermutationMapping.flat_mathematical_bounded: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend as PermutationMapping
Lines 104-111 of bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&start_line=104&end_line=111

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/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as WordConversion

def flat_mathematical_bounded(+shape: Shape.Shape, index: Layout.FlatIndex<shape>) ->
  {Nat.is_lt(U32.to_nat(Layout.index_value(shape, index)), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}:
  Layout.FIndex{+value, bound} = index
  %Shape.elements_exact(shape) : {Nat.is_lt(U32.to_nat(value), _) == True{} : Bool}
  Arith.lt_le_trans(U32.to_nat(value), U32.to_nat(Shape.count(shape)), Shape.elements(shape),
    Equal.trans(Bool, Nat.is_lt(U32.to_nat(value), U32.to_nat(Shape.count(shape))), U32.is_lt(value, Shape.count(shape)), True{},
      Arith.u32_lt(value, Shape.count(shape)), Equal.sym(Bool, True{}, U32.is_lt(value, Shape.count(shape)), bound)),
    WordConversion.natural_word_le(Shape.elements(shape)))

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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  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/storage/arith.bend&name=lt_le_trans
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=u32_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=FlatIndex
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=index_value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=natural_word_le