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FordUniver merged 1 commit into from
Mar 12, 2026
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Tfae have 5 4 #15

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14 changes: 13 additions & 1 deletion LeanBlockCourse26/P06_Mathlib/S01_PrimeTheorem.lean
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Expand Up @@ -198,7 +198,19 @@ theorem infinitude_of_primes_tfae : [

tfae_have 3 → 4 := by sorry -- Alexandra

tfae_have 5 → 4 := by sorry -- Sammy
tfae_have 5 → 4 := by -- Sammy
intro h S _
rcases Finset.eq_empty_or_nonempty S with SE|SNE
· use 2
constructor
· simp[SE]
· exact Nat.prime_two
· obtain ⟨maxS,h₂⟩ := Finset.max_of_nonempty SNE
obtain⟨p,h₃,h₄⟩ := h maxS
use p
constructor
· have h₅ := GT.gt.lt h₃; exact Finset.notMem_of_max_lt h₅ h₂
· exact h₄

tfae_have 6 → 3 := by
intro h
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