PermuteBuildProof.mapped_index: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend as PermuteBuildProof
Lines 191-200 of bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&start_line=191&end_line=200

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/observation.bend as Values
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion

def mapped_index(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +index: U32,
  +mapping: Layout.Mapping<input, axes, plan, index>) ->
  {Layout.source_index(input, axes, plan, index, mapping) ==
    U32.from_nat(U32.to_nat(Maybe.default(&2, U32, Values.permute_source(input, axes, index), 0))) : U32}:
  +found = Maybe.default(&2, U32, Values.permute_source(input, axes, index), 0)
  Equal.trans(U32, Layout.source_index(input, axes, plan, index, mapping), found, U32.from_nat(U32.to_nat(found)),
    Equal.cong(Maybe<&2, U32>, U32, result => Maybe.default(&2, U32, result, 0),
      Some{Layout.source_index(input, axes, plan, index, mapping)}, Values.permute_source(input, axes, index),
      reference(input, axes, plan, index, mapping)),
    Equal.sym(U32, U32.from_nat(U32.to_nat(found)), found, Conversion.word_natural_exact(found)))

Uses (16):
  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=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe.default
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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/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=source_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/observation.bend&name=permute_source
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&name=reference
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&name=word_natural_exact