FoldProof.contract: 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 118-132 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=118&end_line=132

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
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as PointwiseProof
import bendtorch-core@0.1.0.0/src/tensor/contracts/fold.bend as Fold
import bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend as Records

def contract(~O: Data, ~g: O -> F32 -> F32 -> F32, ~P: Data, ~ia: P -> Nat -> Nat, ~keep: P -> Nat -> Bool,
  +operation: O, +plan: P, +shape: Shape.Shape, +fill: F32, +ops: List<&2, StorageLaws.Op>, +count: Nat,
  +inside: {Pointwise.inside(~P, ~ia, plan, count, Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool},
  -fits: {Lifecycle.logical_length(Replayed.storage(shape, fill, ops)) == Shape.logical_numel(Shape.dimensions(shape)) : Nat}) ->
  Records.FoldContract<shape, Fold.total(~O, ~g, ~P, ~ia, ~keep, operation, plan, shape, fill, ops, count),
    other => Replayed.value(shape, fill, ops, other),
    Fold.run(~O, ~g, ~P, ~ia, ~keep, operation, plan, count, Core.Packed{shape, Core.TTensor{Replayed.storage(shape, fill, ops), fits}})>:
  Records.FoldContract{
    run_lift(~O, ~g, ~P, ~ia, ~keep, operation, plan, shape, fill, ops, count, inside,
      result => {Fold.value(result) == Some{Fold.total(~O, ~g, ~P, ~ia, ~keep, operation, plan, shape, fill, ops, count)} : Maybe<&2, F32>},
      after => {==})(fits),
    other => within =>
      run_lift(~O, ~g, ~P, ~ia, ~keep, operation, plan, shape, fill, ops, count, inside,
        result => {Fold.input_point(result, other) == Some{Replayed.value(shape, fill, ops, other)} : Maybe<&2, F32>},
        after => PointwiseProof.input_point(~P, ~ia, plan, count, shape, fill, ops, after, other, within))(fits)}

Uses (22):
  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=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  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.bend&name=input_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold.bend&name=run
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold.bend&name=total
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold.bend&name=value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_proof.bend&name=run_lift
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/fold_records.bend&name=FoldContract
  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=input_point
  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/contracts/replayed.bend&name=value
  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=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length