Theorems · Theorem · number theory
Nat.add_two_le_nth_prime
∀ (n : ℕ), n + 2 ≤ Nat.nth Nat.Prime n
The nth prime is greater or equal to n + 2.
- Defined in
- Mathlib.NumberTheory.PrimeCounting
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement · cited by 2,059
- Nat.nthstatement · cited by 84
- Nat.nth_strictMonoproof · cited by 6
- Nat.infinite_setOfPred_primeproof · cited by 5
- Nat.nth_prime_zero_eq_twoproof · cited by 2
- StrictMono.add_le_natproof · cited by 1
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