Theorems · Theorem · number theory
Nat.Prime.even_iff
∀ {p : ℕ}, Nat.Prime p → (Even p ↔ p = 2)- Defined in
- Mathlib.Data.Nat.Prime.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement and proof · cited by 2,059
- Evenstatement · cited by 444
- Nat.prime_twoproof · cited by 55
- even_iff_two_dvdproof · cited by 25
- Nat.prime_dvd_prime_iff_eqproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- FiniteField.even_card_iff_char_twoproof · cited by 2
- Nat.Prime.odd_iffproof · cited by 0