Theorems · Theorem · number theory
GaussianInt.prime_of_nat_prime_of_mod_four_eq_three
∀ (p : ℕ) [Fact (Nat.Prime p)], p % 4 = 3 → Prime ↑p
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ZModproof · cited by 1,024
- Nat.cast_addproof · cited by 586
- Irreducibleproof · cited by 496
- Primestatement · cited by 277
- Nat.cast_powproof · cited by 131
- by_contradictionproof · cited by 42
- GaussianIntstatement · cited by 37
- irreducible_iff_primeproof · cited by 15
- ZMod.natCast_modproof · cited by 3
- GaussianInt.sq_add_sq_of_nat_prime_of_not_irreducibleproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- GaussianInt.prime_iff_mod_four_eq_three_of_nat_primeproof · cited by 1