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formal statement (Lean)
98structure NashEquilibriumCert where
99 joint_cost_nonneg : ∀ p : TwoPlayerProfile, 0 ≤ jointJCost p
100 zero_iff_canonical :
101 ∀ p : TwoPlayerProfile,
102 jointJCost p = 0 ↔ p.alice_ratio = 1 ∧ p.bob_ratio = 1
103 canonical_nash : isNashEquilibrium canonicalProfile
104
105/-- The master certificate is inhabited. -/
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (10)
Lean names referenced from this declaration's body.
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NashEquilibriumCert
in IndisputableMonolith.Decision.NashEquilibriumFromJCost
decl_use
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NashEquilibriumCert
in IndisputableMonolith.Economics.NashEquilibriumTypesFromConfigDim
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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canonicalProfile
in IndisputableMonolith.GameTheory.NashEquilibriumFromJCost
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isNashEquilibrium
in IndisputableMonolith.GameTheory.NashEquilibriumFromJCost
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jointJCost
in IndisputableMonolith.GameTheory.NashEquilibriumFromJCost
decl_use
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TwoPlayerProfile
in IndisputableMonolith.GameTheory.NashEquilibriumFromJCost
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use