ElementwisePROOF.natural_dimensions_equal: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend as ElementwisePROOF
Lines 512-517 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=512&end_line=517

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

def natural_dimensions_equal(+left: List<&2, U32>, +right: List<&2, U32>,
  equal: {Shape.naturals(left) == Shape.naturals(right) : List<&2, Nat>}) -> {left == right : List<&2, U32>}:
  Equal.trans(List<&2, U32>, left, Shape.words(Shape.naturals(left)), right,
    Equal.sym(List<&2, U32>, Shape.words(Shape.naturals(left)), left, words_naturals(left)),
    Equal.trans(List<&2, U32>, Shape.words(Shape.naturals(left)), Shape.words(Shape.naturals(right)), right,
      Equal.cong(List<&2, Nat>, List<&2, U32>, Shape.words, Shape.naturals(left), Shape.naturals(right), equal), words_naturals(right)))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=naturals
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=words
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_PROOF.bend&name=words_naturals