Theorems · Theorem · number theory
GaussianInt.mod_four_eq_three_of_nat_prime_of_prime
∀ (p : ℕ) [hp : Fact (Nat.Prime p)], Prime ↑p → p % 4 = 3
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 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.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- IsUnitproof · cited by 1,602
- add_commproof · cited by 1,535
- ZModproof · cited by 1,024
Cited by1
Results whose statement or proof uses this declaration.
- GaussianInt.prime_iff_mod_four_eq_three_of_nat_primeproof · cited by 1