diff --git a/LeanBlockCourse26/P06_Mathlib/S01_PrimeTheorem.lean b/LeanBlockCourse26/P06_Mathlib/S01_PrimeTheorem.lean index ebae6b3..463bd9e 100644 --- a/LeanBlockCourse26/P06_Mathlib/S01_PrimeTheorem.lean +++ b/LeanBlockCourse26/P06_Mathlib/S01_PrimeTheorem.lean @@ -187,7 +187,12 @@ theorem infinitude_of_primes_tfae : [ tfae_have 1 → 2 := by sorry -- Onat - tfae_have 1 → 6 := by sorry -- Bohdan + tfae_have 1 → 6 := by -- Bohdan + intro h + use Nat.nth Nat.Prime + use Nat.nth_injective h + intro k + exact Nat.prime_nth_prime k tfae_have 3 → 2 := by sorry -- Leonie @@ -207,9 +212,9 @@ theorem infinitude_of_primes_tfae : [ tfae_have 3 → 5 := by sorry -- Daniel - tfae_have 7 → 1 := by sorry -- Bohdan / Kimia + tfae_have 7 → 1 := fun _ => Nat.infinite_setOf_prime -- Bohdan / Kimia - tfae_have 1 → 7 := by sorry -- Bohdan / Kimia + tfae_have 1 → 7 := Nat.nth_strictMono -- Bohdan / Kimia tfae_have 7 → 3 := by sorry -- Kimia