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236 lines
9.5 KiB
Text
236 lines
9.5 KiB
Text
import Lean
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import Lean.Meta
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import Semantics.FixedPoint
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import Semantics.DecagonZetaCrossing
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namespace Semantics.MassNumberLinter
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open Lean Meta
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/-! # MNLOG Mass Number Linter (Full Meta Monad Version)
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Linter based on MNLOG-001 through MNLOG-006 doctrines:
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- MNLOG-001: Logic can have a mass-number value only after we say which reality is weighing it
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- MNLOG-002: Mass-number valuation supports Gödel-style stress testing
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- MNLOG-003: Mass numbers act as imaginary-number-like semantic coordinates
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- MNLOG-004: Automation enables review workflow
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- MNLOG-006: Geometrically-derived mass numbers from decagon-zeta crossing
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The linter automatically detects theorems in the environment and checks that
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they have appropriate mass number valuations following the safe formulation.
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MNLOG-LINTER-001: Linter enforces review discipline
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MNLOG-LINTER-002: Current code compiles
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MNLOG-LINTER-003: Linter restricts scope to Semantics.* namespace
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NO-TRUTH-SUBSTITUTION GUARDRAIL:
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Valuation metadata does not imply theorem truth.
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The theorem/proof remains the validator of formal truth.
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The mass-number valuation is review metadata only.
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MNLOG-006: GEOMETRICALLY-DERIVED MASS NUMBERS
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The decagon-zeta crossing provides geometrically-derived invariants:
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- φ² ≈ 2.618 (diagonal-to-side ratio from decagon geometry)
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- ζ(φ²) (Riemann zeta evaluated at golden exponent)
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- Euler product: ∏(1 - p^(-φ²))^(-1) (prime factorization)
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These invariants can serve as field-local mass numbers or scaling factors.
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-/
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/-- Explicit mass number valuation registry structure -/
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structure MassNumberValuation where
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target : Name -- The theorem being valued
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contract : String -- Field/reality contract
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validator : String -- Validator specification
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residual : String -- Residual model
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projection : String -- Projection rule
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provenance : String -- Source/documentation of valuation
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score : Option Q16_16 -- Optional numerical score
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geometricInvariant : Option String -- Optional geometric invariant (e.g., φ², ζ(φ²))
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/-- Linter configuration for mass number valuation checks -/
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structure MassNumberLinterConfig where
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requireValuation : Bool := true -- Require mass number valuations for theorems
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checkExplanatoryDiscipline : Bool := true -- Verify field, validator, residual, projection are specified
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warnOnMissing : Bool := true -- Warn when valuations are missing
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namespaceFilter : Option String := some "Semantics." -- Restrict to specific namespace
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deriving Repr
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/-- Default linter configuration -/
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def defaultConfig : MassNumberLinterConfig := {
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requireValuation := true,
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checkExplanatoryDiscipline := true,
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warnOnMissing := true,
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namespaceFilter := some "Semantics."
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}
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/-- Linter result for a single theorem -/
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structure TheoremValuationResult where
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theoremName : String
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hasValuation : Bool
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hasContract : Bool
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hasValidator : Bool
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hasResidual : Bool
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hasProjection : Bool
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hasProvenance : Bool
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warnings : List String
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deriving Repr
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/-- Check if a declaration name follows the mass number naming convention -/
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def isMassNumberName (name : Name) : Bool :=
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let str := name.toString
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str.endsWith "Mass" || str.endsWith "mass" || str.contains "MassNumber"
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/-- Check if a name matches the namespace filter -/
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def matchesNamespaceFilter (name : Name) (filter : Option String) : Bool :=
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match filter with
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| none => true
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| some p => (name.toString).startsWith p
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/-- Check if a theorem has a corresponding mass number valuation in the registry -/
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def hasMassNumberValuation (theoremName : Name) : MetaM Bool := do
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let env ← getEnv
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-- Try to find a mass number valuation registry entry
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-- In a full implementation, this would look up in an explicit registry
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-- For now, use name guessing as fallback
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let massName := Name.append theoremName (Name.mkSimple "Mass")
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let massNameAlt := Name.append (Name.mkSimple "mass") theoremName
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let massNameAlt2 := Name.append theoremName (Name.mkSimple "MassNumber")
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-- Check if any of these names exist in the environment
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let hasMass := env.contains massName || env.contains massNameAlt || env.contains massNameAlt2
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pure hasMass
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/-- Check if a mass number valuation has all required MNLOG-001 components -/
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def checkValuationComponents (massName : Name) : MetaM (Bool × Bool × Bool × Bool × Bool) := do
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let env ← getEnv
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-- Try to find the constant info for the mass number
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match env.find? massName with
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| some _info => do
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-- In a full implementation, this would inspect the structure fields
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-- For now, return false for all components as a conservative default
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pure (false, false, false, false, false)
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| none => pure (false, false, false, false, false)
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/-- Create a mass number valuation with decagon-zeta geometric invariant -/
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def createDecagonZetaValuation (target : Name) (contract : String) (invariant : String) : MassNumberValuation :=
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{
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target := target,
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contract := contract,
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validator := "geometric-invariant",
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residual := "decagon-zeta-field",
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projection := "identity",
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provenance := "MNLOG-006: decagon-zeta crossing",
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score := none,
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geometricInvariant := some invariant
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}
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/-- Common decagon-zeta invariants for use in mass number valuations -/
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def decagonInvariants : List String :=
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["phi_squared", "zeta_phi_squared", "euler_product_phi_squared"]
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/-- Check if a constant is a theorem (has a proof value) -/
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def isTheorem (info : ConstantInfo) : Bool :=
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match info with
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| .thmInfo _ => true
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| _ => false
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/-- Run the linter on the current environment, automatically detecting theorems -/
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def runLinter (config : MassNumberLinterConfig) : MetaM (List TheoremValuationResult) := do
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let env ← getEnv
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let mut results : List TheoremValuationResult := []
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-- Iterate through all declarations in the environment
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for (name, info) in env.constants do
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-- Only check theorems that match the namespace filter
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if isTheorem info && matchesNamespaceFilter name config.namespaceFilter then
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let theoremName := name
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let hasVal ← hasMassNumberValuation theoremName
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let (hasContract, hasValidator, hasResidual, hasProjection, hasProvenance) ←
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if hasVal && config.checkExplanatoryDiscipline then
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checkValuationComponents theoremName
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else
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pure (false, false, false, false, false)
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let warnings : List String :=
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if config.warnOnMissing && !hasVal then
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["Missing mass number valuation for theorem: " ++ theoremName.toString]
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else if hasVal && config.checkExplanatoryDiscipline then
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let compWarnings : List String := []
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let compWarnings := if !hasContract then compWarnings ++ ["Missing field/reality contract"] else compWarnings
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let compWarnings := if !hasValidator then compWarnings ++ ["Missing validator specification"] else compWarnings
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let compWarnings := if !hasResidual then compWarnings ++ ["Missing residual model"] else compWarnings
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let compWarnings := if !hasProjection then compWarnings ++ ["Missing projection rule"] else compWarnings
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let compWarnings := if !hasProvenance then compWarnings ++ ["Missing provenance"] else compWarnings
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compWarnings
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else []
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results := List.append results [TheoremValuationResult.mk
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theoremName.toString
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hasVal
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hasContract
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hasValidator
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hasResidual
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hasProjection
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hasProvenance
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warnings]
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pure results
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/-- Print linter results (IO version for MetaM lifting) -/
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def printResults (results : List TheoremValuationResult) : IO Unit := do
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IO.println s!"=== MNLOG Mass Number Linter Results ==="
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IO.println s!"Total theorems checked: {List.length results}"
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let withValuations := results.filter (·.hasValuation)
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let withoutValuations := results.filter (fun r => !r.hasValuation)
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IO.println s!"Theorems with valuations: {List.length withValuations}"
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IO.println s!"Theorems without valuations: {List.length withoutValuations}"
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if List.length withoutValuations > 0 then
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IO.println "\n--- Theorems Missing Mass Number Valuations ---"
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for result in withoutValuations do
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IO.println s!" - {result.theoremName}"
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let allWarnings := results.flatMap (·.warnings)
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if List.length allWarnings > 0 then
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IO.println "\n--- Warnings ---"
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for warning in allWarnings do
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IO.println s!" {warning}"
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/-- Run linter and print results (combines MetaM and IO) -/
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def runLinterAndPrint (config : MassNumberLinterConfig) : MetaM Unit := do
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let results ← runLinter config
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-- Lift IO operation to MetaM
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let ioResult ← liftM (printResults results)
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pure ioResult
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/-! ## Usage
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To run the linter automatically on all theorems in the current environment:
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```lean
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#eval show MetaM Unit from runLinterAndPrint defaultConfig
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```
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Or use it programmatically:
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```lean
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def myLinter : MetaM (List TheoremValuationResult) :=
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runLinter defaultConfig
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```
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The linter follows the MNLOG-001 safe formulation:
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- Field/reality contract must be specified
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- Validator must be declared
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- Residual model must be defined
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- Projection rule must be provided
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This ensures the explanatory discipline required by MNLOG-002.
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The linter automatically detects all theorems in the environment and checks
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for corresponding mass number valuations using naming conventions:
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- theoremName + "Mass"
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- "mass" + theoremName
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- theoremName + "MassNumber"
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-/
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end Semantics.MassNumberLinter
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