TransformPROOF.route_allowed: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/transform_PROOF.bend as TransformPROOF
Lines 356-366 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=356&end_line=366

import Base
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/refinement.bend as Refinement
import bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend as Mapping

def route_allowed(+depth: Nat, +length: Nat, +index: U32,
  +matched: {Storage.index_matches(depth, length, index) == True{} : Bool}) ->
  {Nat.is_lt(U32.to_nat(index), length) == True{} : Bool}:
  +offset = Model.offset(depth, Refinement.route(depth, index))
  %Lifecycle.natural_equal(offset, U32.to_nat(index),
    Mapping.and_left(Nat.is_eq(offset, U32.to_nat(index)), Nat.is_lt(offset, length),
      Equal.sym(Bool, Storage.index_matches(depth, length, index), True{}, matched))) :
    {Nat.is_lt(_, length) == True{} : Bool}
  Equal.sym(Bool, True{}, Nat.is_lt(offset, length),
    Mapping.and_right(Nat.is_eq(offset, U32.to_nat(index)), Nat.is_lt(offset, length),
      Equal.sym(Bool, Storage.index_matches(depth, length, index), True{}, matched)))

Uses (13):
  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_eq
  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
  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/storage/main.bend&name=index_matches
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=offset
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/refinement.bend&name=route
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=natural_equal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=and_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permutation_mapping.bend&name=and_right