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formal statement (Lean)
159theorem switch_strictly_better : p_stay < p_switch := by
proof body
Term-mode proof.
160 rw [p_stay_eq, p_switch_eq]
161 norm_num
162
163/-- The two probabilities sum to 1: every outcome is either a stay-win
164or a switch-win. -/
used by (2)
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.
-
or
in IndisputableMonolith.Constants.EulerMascheroni
decl_use
-
p_stay
in IndisputableMonolith.Decision.MontyHall
decl_use
-
p_stay_eq
in IndisputableMonolith.Decision.MontyHall
decl_use
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p_switch
in IndisputableMonolith.Decision.MontyHall
decl_use
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p_switch_eq
in IndisputableMonolith.Decision.MontyHall
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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two
in IndisputableMonolith.QFT.SpinStatistics
decl_use