Theorems · Theorem · commutative algebra
expChar_is_prime_or_one
∀ (R : Type u_1) [inst : AddMonoidWithOne R] (q : ℕ) [hq : ExpChar R q], Nat.Prime q ∨ q = 1
The exponential characteristic is a prime number or one.
See also CharP.char_is_prime_or_zero.
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- AddMonoidWithOneExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CharZeroproof · cited by 932
- CharPproof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
- ExpCharstatement and proof · cited by 276
- ExpChar.casesOnproof · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- expChar_posproof · cited by 3
- IsPurelyInseparable.exists_pow_mem_range_tensorProductproof · cited by 1
- IsPurelyInseparable.exists_pow_pow_mem_range_tensorProduct_of_expCharproof · cited by 1