Theorems · Theorem · commutative algebra
CharP.char_is_prime_of_two_le
∀ (R : Type u_1) [inst : NonAssocSemiring R] [NoZeroDivisors R] (p : ℕ) [CharP R p], 2 ≤ p → Nat.Prime p
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primestatement · cited by 2,059
- LT.lt.ne'proof · cited by 1,417
- NonAssocSemiringstatement and proof · cited by 805
- NoZeroDivisorsstatement and proof · cited by 545
- CharPstatement and proof · cited by 478
- Nat.cast_mulproof · cited by 309
- dvd_reflproof · cited by 97
- CharP.cast_eq_zero_iffproof · cited by 42
- mul_right_cancel₀proof · cited by 22
- dvd_of_mul_left_eqproof · cited by 14
- NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zeroproof · cited by 14
- Dvd.dvd.antisymmproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CharP.char_is_prime_or_zeroproof · cited by 14