PointwiseProof.run_lift: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as PointwiseProof
Lines 417-438 of bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&start_line=417&end_line=438

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/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend as Replayed
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend as Pointwise

def run_lift(~O: Data, ~f: O -> F32 -> F32 -> F32, ~P: Data, ~ia: P -> Nat -> Nat, ~ib: P -> Nat -> 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>, +shape: Shape.Shape,
  +left_inside: {Pointwise.inside(~P, ~ia, plan, Shape.logical_numel(Shape.dimensions(shape)), Shape.logical_numel(Shape.dimensions(left))) == True{} : Bool},
  +right_inside: {Pointwise.inside(~P, ~ib, plan, Shape.logical_numel(Shape.dimensions(shape)), Shape.logical_numel(Shape.dimensions(right))) == True{} : Bool},
  -Q: (Core.Dynamic & Core.Dynamic) & Result<&2, &1, Core.Error, Core.Dynamic> -> Type,
  h: Final(~O, ~f, ~P, ~ia, ~ib, operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, shape,
    Shape.logical_numel(Shape.dimensions(shape)), Q)) ->
  @-left_fits: {Lifecycle.logical_length(Replayed.storage(left, left_fill, left_ops)) == Shape.logical_numel(Shape.dimensions(left)) : Nat} ->
  @-right_fits: {Lifecycle.logical_length(Replayed.storage(right, right_fill, right_ops)) == Shape.logical_numel(Shape.dimensions(right)) : Nat} ->
    Q(Pointwise.run(~O, ~f, ~P, ~ia, ~ib, operation, plan, shape,
      Core.Packed{left, Core.TTensor{Replayed.storage(left, left_fill, left_ops), left_fits}},
      Core.Packed{right, Core.TTensor{Replayed.storage(right, right_fill, right_ops), right_fits}})):
  left_fits => right_fits =>
    Replayed.new_lift(shape, 0.0,
      result => Q(Pointwise.allocated(~O, ~f, ~P, ~ia, ~ib, operation, plan, shape,
        Core.Packed{left, Core.TTensor{Replayed.storage(left, left_fill, left_ops), left_fits}},
        Core.Packed{right, Core.TTensor{Replayed.storage(right, right_fill, right_ops), right_fits}}, result)),
      output_fits => start_cast(~O, ~f, ~P, ~ia, ~ib, Shape.elements(shape), operation, plan, left, left_fill, left_ops,
        right, right_fill, right_ops, shape, Q,
        loop_lift(~O, ~f, ~P, ~ia, ~ib, Shape.elements(shape), operation, plan, left, left_fill, left_ops, right, right_fill, right_ops,
          shape, 0n, Shape.elements_exact(shape), left_inside, right_inside, Q, h))(left_fits, right_fits, output_fits))

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=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=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=elements
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=elements_exact
  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/pointwise.bend&name=allocated
  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.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=Final
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=loop_lift
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=start_cast
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=new_lift
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=storage
  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
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length