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formal statement (Lean)
46theorem isSeparating_iff (r : Recognizer C E) :
47 IsSeparating r ↔ ∀ c₁ c₂, Indistinguishable r c₁ c₂ → c₁ = c₂ := by
proof body
Decided by rfl or decide.
48 rfl
49
50/-- If a recognizer separates, the quotient is isomorphic to C. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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E
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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IsSeparating
in IndisputableMonolith.RecogGeom.Dimension
decl_use
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Indistinguishable
in IndisputableMonolith.RecogGeom.Indistinguishable
decl_use