ReducePROOF.fitted_not_reducible: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend as ReducePROOF
Lines 661-672 of bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_PROOF.bend&start_line=661&end_line=672

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout
import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformProof
import bendtorch-core@0.1.0.0/src/autograd/reduce.bend as Reduce

def fitted_not_reducible(input: Core.Dynamic, +target: Shape.Shape, +plan: Shape.BroadcastPlan, +dims: List<&2, U32>, flag: Bool,
  decided: {flag == Layout.words_same(Shape.dimensions(Shape.output_shape(plan)), dims) : Bool},
  differ: {Shape.dimensions(Shape.output_shape(plan)) != dims : List<&2, U32>}) ->
  {Reduce.fitted(input, target, plan, flag) == (input, Fail{Reduce.NotReducible{}}) :
    Core.Dynamic & Result<&2, &1, Reduce.Error, Core.Dynamic>}:
  match flag:
    case False{}:
      {==}
    case True{}:
      Empty.absurd({Reduce.fitted(input, target, plan, True{}) == (input, Fail{Reduce.NotReducible{}}) :
        Core.Dynamic & Result<&2, &1, Reduce.Error, Core.Dynamic>},
        differ(TransformProof.words_equal(Shape.dimensions(Shape.output_shape(plan)), dims, decided)))

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=Empty
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  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/autograd/reduce.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce.bend&name=fitted
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=words_same
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&name=words_equal