22 lines
626 B
Text
22 lines
626 B
Text
module
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def Set' (α : Type u) := α → Prop
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namespace Set'
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protected def Mem (s : Set' α) (a : α) : Prop :=
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s a
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instance : Membership α (Set' α) :=
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⟨Set'.Mem⟩
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end Set'
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def Ioi' [LT α] (a : α) : Set' α := fun x => a < x
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@[grind =] theorem mem_Ioi [LT α] {x a : α} : x ∈ Ioi' a ↔ a < x := Iff.rfl
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theorem ProbabilityTheory.crash.extracted_1_3
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[LE α] [LT α] [DecidableEq α]
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[Lean.Grind.Ring α] [Lean.Grind.LinearOrder α] [Lean.Grind.OrderedRing α] (X : α → α)
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(hnonneg : ∀ (i : α), 0 ≤ X i) (n : α) (hn : X n ∉ Ioi' 0) :
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(if n = X n then 0 else 0) + X n = 0 := by grind
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