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optParam and notational improvements. #193

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Aug 6, 2024
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Merge branch 'main' into george
GeorgeTsoukalas authored Aug 3, 2024
commit 16986d4b4566570fb525806ae9d3f45f10c1cdb3
3 changes: 2 additions & 1 deletion lean4/src/putnam_1996_a3.lean
Original file line number Diff line number Diff line change
@@ -4,5 +4,6 @@ open BigOperators
abbrev putnam_1996_a3_solution : Prop := sorry
-- False
theorem putnam_1996_a3
: putnam_1996_a3_solution ↔ (∀ student_choices : Finset.range 20 → Set (Finset.range 6), ∃ S : Set (Finset.range 20), ∃ c1 c2 : Finset.range 6, c1 ≠ c2 ∧ S.ncard = 5 ∧ ({c1, c2} ⊆ ⋂ s ∈ S, student_choices s ∨ ({c1, c2} ⊆ ⋂ s ∈ S, (student_choices s)ᶜ))) :=
(studentchoicesprop : (Finset.range 20 → Set (Finset.range 6)) → Prop := (fun studentchoices : (Finset.range 20 → Set (Finset.range 6)) => ∃ S : Set (Finset.range 20), ∃ c1 c2 : Finset.range 6, c1 ≠ c2 ∧ S.encard = 5 ∧ ({c1, c2} ⊆ (⋂ s ∈ S, studentchoices s) ∨ {c1, c2} ⊆ (⋂ s ∈ S, (studentchoices s)ᶜ))))
: (∀ studentchoices : (Finset.range 20 → Set (Finset.range 6)), studentchoicesprop studentchoices) ↔ putnam_1996_a3_solution :=
sorry
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