TransformPROOF.mapping_decided_failure: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 1709-1721 of bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend&start_line=1709&end_line=1721

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/tensor/lifecycle.bend as Lifecycle

def mapping_decided_failure(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +index: U32,
  decision: Shape.BoolCase<U32.is_lt(index, Shape.count(Layout.output(input, axes, plan)))>,
  outside: {False{} == U32.is_lt(index, Shape.count(Layout.output(input, axes, plan))) : Bool}) ->
  {Layout.map_decided(input, axes, plan, index, decision) == Fail{Layout.ShapeError{Shape.FlatIndexOutOfBounds{}}} :
    Result<&2, &2, Layout.Error, Layout.Mapping<input, axes, plan, index>>}:
  match decision:
    case Shape.BFalse{equal}:
      {==}
    case Shape.BTrue{equal}:
      Empty.absurd({Layout.map_decided(input, axes, plan, index, Shape.BTrue{equal}) == Fail{Layout.ShapeError{Shape.FlatIndexOutOfBounds{}}} :
        Result<&2, &2, Layout.Error, Layout.Mapping<input, axes, plan, index>>},
          Lifecycle.false_true(Equal.trans(Bool, True{}, U32.is_lt(index, Shape.count(Layout.output(input, axes, plan))), False{}, equal,
            Equal.sym(Bool, False{}, U32.is_lt(index, Shape.count(Layout.output(input, axes, plan))), outside))))

Uses (18):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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=Result
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Error
  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/tensor/layout.bend&name=Error
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Mapping
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=map_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=false_true