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- cupfox-config.nix: add Open WebUI container with chat.researchstack.info proxy, gather-metrics service/timer, rclone, and tmpfiles for persistent storage - Lean semantics: reduce axiom count from 109 to 18 across 10 files; FixedPoint now 0 axioms, 0 sorries with 12 theorems - Documentation: update AGENTS.md with current axiom/sorry counts and FixedPoint status; refine bind signature - Add topology scripts, CGA/FAMM/GeneticOptimizer/MMRFAMM Lean modules, devcontainer config, MEMORY.md, and Modelfile
266 lines
11 KiB
Text
266 lines
11 KiB
Text
/- Copyright (c) 2026 Sovereign Research Stack. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Research Stack Team
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RcloneIntegration.lean — Cloud Storage Operations in Lean
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This module formalizes Rclone cloud storage operations for the swarm system.
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Supports sync, copy, list, and other Rclone operations across various cloud
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storage providers (Google Drive, Dropbox, S3, etc.).
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Per AGENTS.md §1.4: Q16_16 fixed-point for scoring.
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Per AGENTS.md §2: PascalCase types, camelCase functions.
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Per AGENTS.md §4: Eval witnesses and theorems required.
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Integration with SubagentOrchestrator: Rclone operations as domain tasks.
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-/
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import Mathlib.Data.Nat.Basic
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import Mathlib.Data.Real.Basic
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import Mathlib.Data.Fin.Basic
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import Mathlib.Data.List.Basic
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import Mathlib.Tactic
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namespace Semantics.RcloneIntegration
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §0 Fixed-Point Scoring (Q16.16)
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-- ═══════════════════════════════════════════════════════════════════════════
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structure Q16_16 where
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raw : Int
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deriving Repr, DecidableEq, Inhabited, BEq
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namespace Q16_16
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def zero : Q16_16 := ⟨0⟩
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def one : Q16_16 := ⟨65536⟩
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def ofNat (n : Nat) : Q16_16 := ⟨n * 65536⟩
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instance : LE Q16_16 := ⟨fun a b => a.raw ≤ b.raw⟩
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instance : LT Q16_16 := ⟨fun a b => a.raw < b.raw⟩
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instance : DecidableRel (fun a b : Q16_16 => a ≤ b) := fun a b => inferInstanceAs (Decidable (a.raw ≤ b.raw))
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instance : DecidableRel (fun a b : Q16_16 => a < b) := fun a b => inferInstanceAs (Decidable (a.raw < b.raw))
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instance : Add Q16_16 := ⟨fun a b => ⟨a.raw + b.raw⟩⟩
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instance : Sub Q16_16 := ⟨fun a b => ⟨a.raw - b.raw⟩⟩
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instance : Mul Q16_16 := ⟨fun a b => ⟨(a.raw * b.raw) / 65536⟩⟩
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instance : Div Q16_16 := ⟨fun a b => ⟨(a.raw * 65536) / b.raw⟩⟩
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end Q16_16
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §1 Cloud Storage Providers
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive RcloneProvider
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| googleDrive
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| dropbox
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| amazonS3
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| googleCloudStorage
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| azureBlob
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| oneDrive
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| mega
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| ftp
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| sftp
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| webdav
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| localStorage
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deriving Repr, DecidableEq, Inhabited
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namespace RcloneProvider
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def toString : RcloneProvider → String
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| googleDrive => "drive"
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| dropbox => "dropbox"
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| amazonS3 => "s3"
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| googleCloudStorage => "gcs"
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| azureBlob => "azureblob"
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| oneDrive => "onedrive"
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| mega => "mega"
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| ftp => "ftp"
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| sftp => "sftp"
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| webdav => "webdav"
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| localStorage => "local"
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end RcloneProvider
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §2 Rclone Operations
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive RcloneOperation
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| sync
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| copy
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| move
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| list
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| mount
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| umount
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| delete
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| purge
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| check
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| md5sum
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| size
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deriving Repr, DecidableEq, Inhabited
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namespace RcloneOperation
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def toString : RcloneOperation → String
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| sync => "sync"
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| copy => "copy"
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| move => "move"
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| list => "list"
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| mount => "mount"
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| umount => "umount"
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| delete => "delete"
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| purge => "purge"
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| check => "check"
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| md5sum => "md5sum"
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| size => "size"
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end RcloneOperation
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §3 Task Status
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-- ═══════════════════════════════════════════════════════════════════════════
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inductive TaskStatus
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| pending
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| inProgress
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| completed
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| failed
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deriving Repr, DecidableEq, Inhabited
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namespace TaskStatus
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def toString : TaskStatus → String
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| pending => "pending"
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| inProgress => "in_progress"
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| completed => "completed"
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| failed => "failed"
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end TaskStatus
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §4 Rclone Task Request
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-- ═══════════════════════════════════════════════════════════════════════════
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structure RcloneTaskRequest where
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taskId : String
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provider : RcloneProvider
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operation : RcloneOperation
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source : String
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destination : String
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options : List (String × String)
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priority : Nat
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dryRun : Bool
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deriving Repr, Inhabited
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §5 Rclone Task Result
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-- ═══════════════════════════════════════════════════════════════════════════
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structure RcloneTaskResult where
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taskId : String
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operation : RcloneOperation
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provider : RcloneProvider
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source : String
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destination : String
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dryRun : Bool
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returnCode : Nat
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stdout : String
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stderr : String
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duration : Q16_16
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success : Bool
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filesTransferred : Nat
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bytesTransferred : Nat
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deriving Repr, Inhabited
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §6 Task Queue
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-- ═══════════════════════════════════════════════════════════════════════════
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structure RcloneTaskQueue where
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tasks : List RcloneTaskRequest
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pending : List RcloneTaskRequest
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inProgress : List RcloneTaskRequest
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completed : List RcloneTaskResult
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deriving Repr, Inhabited
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namespace RcloneTaskQueue
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def empty : RcloneTaskQueue :=
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{ tasks := [], pending := [], inProgress := [], completed := [] }
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def addTask (queue : RcloneTaskQueue) (task : RcloneTaskRequest) : RcloneTaskQueue :=
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{ queue with tasks := task :: queue.tasks, pending := task :: queue.pending }
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def startTask (queue : RcloneTaskQueue) (taskId : String) : RcloneTaskQueue :=
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let (toStart, remaining) := queue.pending.partition (fun t => t.taskId = taskId)
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{ queue with pending := remaining, inProgress := toStart ++ queue.inProgress }
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def completeTask (queue : RcloneTaskQueue) (result : RcloneTaskResult) : RcloneTaskQueue :=
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let (_finished, remaining) := queue.inProgress.partition (fun t => t.taskId = result.taskId)
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{ queue with inProgress := remaining, completed := result :: queue.completed }
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end RcloneTaskQueue
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §7 Integration with SubagentOrchestrator
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-- ═══════════════════════════════════════════════════════════════════════════
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structure RcloneDomainExpert where
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provider : RcloneProvider
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expertiseLevel : Q16_16
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operationsKnown : List RcloneOperation
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deriving Repr, Inhabited
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def createRcloneExpert (provider : RcloneProvider) : RcloneDomainExpert :=
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{ provider := provider
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expertiseLevel := Q16_16.one
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operationsKnown := [RcloneOperation.sync, RcloneOperation.copy, RcloneOperation.list, RcloneOperation.delete] }
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §8 Theorems
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-- ═══════════════════════════════════════════════════════════════════════════
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theorem addTaskPreservesCount (queue : RcloneTaskQueue) (task : RcloneTaskRequest) :
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(queue.addTask task).tasks.length = queue.tasks.length + 1 := by
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simp [RcloneTaskQueue.addTask]
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theorem addTaskPreservesPendingLength (queue : RcloneTaskQueue) (task : RcloneTaskRequest) :
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(queue.addTask task).pending.length = queue.pending.length + 1 := by
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simp [RcloneTaskQueue.addTask]
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/--
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Starting a task moves matching entries from pending to inProgress.
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After starting, pending shrinks (non-increasing).
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-/
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theorem startTask_pending_non_increasing (queue : RcloneTaskQueue) (taskId : String) :
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(queue.startTask taskId).pending.length ≤ queue.pending.length := by
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unfold RcloneTaskQueue.startTask
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-- TODO(lean-port): List.partition length lemmas not available in this version.
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-- The remaining (non-matching) part of partition has length ≤ original.
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sorry
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/--
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Completing a task adds one entry to completed results.
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-/
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theorem completeTask_completed_length (queue : RcloneTaskQueue) (result : RcloneTaskResult) :
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(queue.completeTask result).completed.length = queue.completed.length + 1 := by
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simp [RcloneTaskQueue.completeTask]
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-- ═══════════════════════════════════════════════════════════════════════════
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-- §9 Topological Storage Area
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-- ═══════════════════════════════════════════════════════════════════════════
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structure TopologicalStorageArea where
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provider : RcloneProvider
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mountPoint : String
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isPrimary : Bool
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deriving Repr, Inhabited
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def topologicalStorageArea : TopologicalStorageArea :=
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{ provider := RcloneProvider.googleDrive
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mountPoint := "gdrive:topological_storage"
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isPrimary := true }
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end Semantics.RcloneIntegration
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