FoldProof.pair_loop_lift: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend as FoldProof
Lines 244-265 of bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&start_line=244&end_line=265

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend as Pointwise
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as PointwiseProof

def pair_loop_lift(~O: Data, ~g: O -> F32 -> F32 -> F32 -> F32, ~P: Data, ~ia: P -> Nat -> Nat, ~ib: P -> Nat -> Nat,
  +fuel: Nat, +operation: O, +plan: P, +left: Shape.Shape, +left_fill: F32, +left_ops: List<&2, StorageLaws.Op>,
  +right: Shape.Shape, +right_fill: F32, +right_ops: List<&2, StorageLaws.Op>, +cursor: Nat, +count: Nat,
  +steps: {Nat.add(cursor, fuel) == count : Nat},
  +left_inside: {Pointwise.inside(~P, ~ia, plan, count, Shape.logical_numel(Shape.dimensions(left))) == True{} : Bool},
  +right_inside: {Pointwise.inside(~P, ~ib, plan, count, Shape.logical_numel(Shape.dimensions(right))) == True{} : Bool},
  -Q: (Core.Dynamic & Core.Dynamic) & Result<&2, &1, Core.Error, F32> -> Type,
  h: PairFinal(~O, ~g, ~P, ~ia, ~ib, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, count, Q)) ->
  PairStart(~O, ~g, ~P, ~ia, ~ib, fuel, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, cursor, Q):
  match fuel:
    case 0n:
      pair_final_at(~O, ~g, ~P, ~ia, ~ib, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, count, cursor,
        Equal.sym(Nat, cursor, count, PointwiseProof.steps_done(cursor, count, steps)), Q, h)
    case 1n+rest:
      +below = PointwiseProof.cursor_below(cursor, rest, count, steps)
      pair_step_lift(~O, ~g, ~P, ~ia, ~ib, rest, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, cursor,
        PointwiseProof.word_inside(ia(plan, cursor), left,
          PointwiseProof.inside_at(~P, ~ia, plan, count, Shape.logical_numel(Shape.dimensions(left)), left_inside, cursor, below)),
        PointwiseProof.word_inside(ib(plan, cursor), right,
          PointwiseProof.inside_at(~P, ~ib, plan, count, Shape.logical_numel(Shape.dimensions(right)), right_inside, cursor, below)),
        Q, pair_loop_lift(~O, ~g, ~P, ~ia, ~ib, rest, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 1n+cursor, count,
          PointwiseProof.steps_next(cursor, rest, count, steps), left_inside, right_inside, Q, h))

Uses (24):
  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=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  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=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  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=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&name=PairFinal
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&name=PairStart
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&name=pair_final_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&name=pair_step_lift
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend&name=inside
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=cursor_below
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=inside_at
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=steps_done
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=steps_next
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=word_inside
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Error