CoreLAWS.checked_route_separation: law of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend as CoreLAWS
Lines 183-191 of bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/core_LAWS.bend&start_line=183&end_line=191

import Base
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

law checked_route_separation:
  for +depth: Nat
  for +length: Nat
  for +index: U32
  for +other: U32
  for index_checked: {Storage.index_matches(depth, length, index) == True{} : Bool}
  for other_checked: {Storage.index_matches(depth, length, other) == True{} : Bool}
  for different: {Nat.is_eq(U32.to_nat(index), U32.to_nat(other)) == False{} : Bool}
  {Model.same(depth, Refinement.route(depth, index), Refinement.route(depth, other)) == False{} : Bool}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=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=same
  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/core_PROOF.bend&name=route_separation_decided