ElementwisePROOF.flat_index_inside: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwisePROOF
Lines 598-606 of bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&start_line=598&end_line=606

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

def flat_index_inside(+shape: Shape.Shape, +index: Shape.FlatIndex<shape>) ->
  {Nat.is_lt(U32.to_nat(Shape.index_value(shape, index)), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}:
  Shape.FIndex{+value, +bound} = index
  %Shape.elements_exact(shape) :
    {Nat.is_lt(U32.to_nat(U32.from_nat(value)), _) == True{} : Bool}
  %Equal.sym(Nat, U32.to_nat(U32.from_nat(value)), value,
    TransformProof.cursor_word_exact(shape, value, Conversion.lt_le(value, Shape.elements(shape), Equal.sym(Bool, True{}, Nat.is_lt(value, Shape.elements(shape)), bound)))) :
    {Nat.is_lt(_, Shape.elements(shape)) == True{} : Bool}
  Equal.sym(Bool, True{}, Nat.is_lt(value, Shape.elements(shape)), bound)

Uses (15):
  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=Nat
  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=FlatIndex
  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=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=index_value
  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/transform_PROOF.bend&name=cursor_word_exact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=lt_le