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formal statement (Lean)
117theorem not_both (ω : Outcome) : ¬ (StayWins ω ∧ SwitchWins ω) := by
proof body
Term-mode proof.
118 unfold StayWins SwitchWins
119 rintro ⟨h₁, h₂⟩
120 exact h₂ h₁
121
122/-! ## §3. Counting the outcome sets -/
123
124/-- The diagonal of `Fin 3 × Fin 3` has cardinality 3. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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montyHallCert
in IndisputableMonolith.Decision.MontyHall
decl_use
depends on (10)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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Outcome
in IndisputableMonolith.Decision.MontyHall
decl_use
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StayWins
in IndisputableMonolith.Decision.MontyHall
decl_use
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SwitchWins
in IndisputableMonolith.Decision.MontyHall
decl_use
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has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
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Outcome
in IndisputableMonolith.Quantum.BellInequality
decl_use