Proof — Verse 1.31

धर्मस्य चाव्यवच्छिन्नाः पन्थानो ये व्यवस्थिताः ।
न तांल्लोकप्रसिद्धत्वात् कश्चित्तर्केण बाधते ॥ ३१ ॥

And those paths of dharma that stand unbroken — no one sets them aside by reasoning, because they are established in the world.

Endorsed axioms (each cite is verbatim commentary)

• {"kind": "predication", "name": "avyavacchinna", "of": "dharma"}“avyavacchinna, 'unbroken', 'uninterrupted'”
• {"kind": "predication", "name": "lokaprasiddha", "of": "dharma"}“their being established in the world, functions as the warrant”
• {"kind": "predication", "name": "paramparanga_sthita", "of": "dharma"}“what secures these paths is the sheer continuity of their transmission”
• {"kind": "predication", "name": "sthiti_pramana", "of": "dharma"}“the practice's persistence is its credential”

Denials

• {"kind": "relation", "name": "badhate", "from": "tarka", "to": "dharma"}“Reasoning does not get to arraign an unbroken practice”

Rejected readings (refuted by compiled theorems)

• “Reasoning can overturn the unbroken paths of dharma.” — Directly contradicts the verse's denial that tarka badhate dharma. The verse explicitly says no one sets them aside by reasoning.
• “Reasoning is what establishes and grounds the dharmic paths in the world.” — Inverts the epistemological priority. The verse insists that dharma's establishment in the world is prior and independent of reasoning; tarka arrives too late to judge. This reading incorrectly makes reasoning the ground of dharma's worldly establishment.

Lean module

/- Verse 1.31 — generated from data/contracts/1.31.json. DO NOT EDIT.
   Axiom cites are verbatim commentary quotations, validated by
   tests/test_contracts.py. -/
import VakyaVallari.Adequacy

namespace VakyaVallari.Verses.V1_31

open VakyaVallari

def dharma : Entity := ⟨"dharma", Sorta.manifestation⟩
def tarka : Entity := ⟨"tarka", Sorta.power⟩

def contract : Contract :=
  { axioms := [ Claim.predication "avyavacchinna" dharma
    , Claim.predication "lokaprasiddha" dharma
    , Claim.predication "paramparanga_sthita" dharma
    , Claim.predication "sthiti_pramana" dharma ]
  , denials := [ Claim.relation "badhate" (Node.ent tarka) (Node.ent dharma) ]
  , reported := [] }

def accepted : Reading :=
  { claims := [ Claim.predication "avyavacchinna" dharma
    , Claim.predication "lokaprasiddha" dharma ] }

theorem accepted_adequate : contract.Adequate accepted := by decide

namespace Counterexamples

/- 'Reasoning can overturn the unbroken paths of dharma.'
   Why rejected: Directly contradicts the verse's denial that tarka badhate dharma. The verse explicitly says no one sets them aside by reasoning. -/
def tarka_overturns : Reading :=
  { claims := [ Claim.relation "badhate" (Node.ent tarka) (Node.ent dharma) ] }
theorem tarka_overturns_inadequate : ¬ contract.Adequate tarka_overturns := by decide
#guard contract.contradicts tarka_overturns = true

/- 'Reasoning is what establishes and grounds the dharmic paths in the world.'
   Why rejected: Inverts the epistemological priority. The verse insists that dharma's establishment in the world is prior and independent of reasoning; tarka arrives too late to judge. This reading incorrectly makes reasoning the ground of dharma's worldly establishment. -/
def tarka_ground_dharma : Reading :=
  { claims := [ Claim.relation "vyavasthapayate" (Node.ent tarka) (Node.ent dharma) ] }
theorem tarka_ground_dharma_inadequate : ¬ contract.Adequate tarka_ground_dharma := by decide
#guard contract.licenses tarka_ground_dharma = false

end Counterexamples

end VakyaVallari.Verses.V1_31