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Caught some stragglers.
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GeorgeTsoukalas committed Aug 3, 2024
1 parent 6ab737c commit 3658d1d
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Showing 3 changed files with 6 additions and 3 deletions.
3 changes: 2 additions & 1 deletion lean4/src/putnam_1971_b2.lean
Original file line number Diff line number Diff line change
Expand Up @@ -8,6 +8,7 @@ abbrev putnam_1971_b2_solution : Set (ℝ → ℝ) := sorry
theorem putnam_1971_b2
(S : Set ℝ)
(hS : S = univ \ {0, 1})
(P : (ℝ → ℝ) → Prop := fun (F : ℝ → ℝ) => ∀ x ∈ S, F x + F ((x - 1)/x) = 1 + x)
(P : (ℝ → ℝ) → Prop)
(hP : P = fun (F : ℝ → ℝ) => ∀ x ∈ S, F x + F ((x - 1)/x) = 1 + x)
: (∀ F ∈ putnam_1971_b2_solution, P F) ∧ ∀ f : ℝ → ℝ, P f → ∃ F ∈ putnam_1971_b2_solution, (∀ x ∈ S, f x = F x) :=
sorry
3 changes: 2 additions & 1 deletion lean4/src/putnam_1974_b6.lean
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Expand Up @@ -6,7 +6,8 @@ open Set Nat Polynomial Filter Topology
abbrev putnam_1974_b6_solution : (ℕ × ℕ × ℕ) := sorry
-- ((2^1000 - 1)/3, (2^1000 - 1)/3, 1 + (2^1000 - 1)/3)
theorem putnam_1974_b6
(n : ℤ := 1000)
(n : ℤ)
(hn : n = 1000)
(count0 count1 count2 : ℕ)
(hcount0 : count0 = {S | S ⊆ Finset.Icc 1 n ∧ S.card ≡ 0 [MOD 3]}.ncard)
(hcount1 : count1 = {S | S ⊆ Finset.Icc 1 n ∧ S.card ≡ 1 [MOD 3]}.ncard)
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3 changes: 2 additions & 1 deletion lean4/src/putnam_1980_b5.lean
Original file line number Diff line number Diff line change
Expand Up @@ -6,7 +6,8 @@ open Set
abbrev putnam_1980_b5_solution : ℝ → Prop := sorry
-- fun t : ℝ => 1 ≥ t
theorem putnam_1980_b5
(T : Set ℝ := Icc 0 1)
(T : Set ℝ)
(hT : T = Icc 0 1)
(P : ℝ → (ℝ → ℝ) → Prop)
(Convex : (ℝ → ℝ) → Prop)
(S : ℝ → Set (ℝ → ℝ))
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