Api.offset_lt: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/storage/api.bend as Api
Lines 211-222 of bendtorch-core@0.1.0.0/src/storage/api.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&start_line=211&end_line=222

import Base
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def offset_lt(+d: Nat, +path: Model.Path(d)) -> {Nat.is_lt(Model.offset(d, path), Model.capacity(d)) == True{} : Bool}:
  match d:
    case 0n:
      {==}
    case 1n+p:
      Model.Step{+b, +rest} = path
      match b:
        case False{}:
          Arith.lt_le_trans(Model.offset(p, rest), Model.capacity(p), Nat.add(Model.capacity(p), Model.capacity(p)),
            offset_lt(p, rest), le_add_right(Model.capacity(p), Model.capacity(p)))
        case True{}:
          lt_add_left(Model.capacity(p), Model.offset(p, rest), Model.capacity(p), offset_lt(p, rest))

Uses (11):
  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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=le_add_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=lt_add_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=lt_le_trans
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=Path
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=Step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=capacity
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=offset