MatmulPROOF.index_inside: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 670-679 of bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&start_line=670&end_line=679

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 index_inside(+shape: Shape.Shape, +position: Nat,
  +bound: {True{} == Nat.is_lt(position, Shape.elements(shape)) : Bool}) ->
  {Nat.is_lt(U32.to_nat(U32.from_nat(position)), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}:
  %Equal.sym(Nat, U32.to_nat(U32.from_nat(position)), position,
    Conversion.natural_word_exact(position, Shape.count(shape),
      %Equal.sym(Nat, U32.to_nat(Shape.count(shape)), Shape.elements(shape), Conversion.shape_count_exact(shape)) : {Nat.is_le(position, _) == True{} : Bool}
      inside_le(position, Shape.elements(shape), Equal.sym(Bool, True{}, Nat.is_lt(position, Shape.elements(shape)), bound)))) :
        {Nat.is_lt(_, Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}
  %Shape.elements_exact(shape) : {Nat.is_lt(position, _) == True{} : Bool}
  Equal.sym(Bool, True{}, Nat.is_lt(position, Shape.elements(shape)), bound)

Uses (16):
  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_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/matmul_PROOF.bend&name=inside_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