Theorems · Theorem · commutative algebra
expChar_pos
∀ (R : Type u_1) [inst : AddMonoidWithOne R] (q : ℕ) [ExpChar R q], 0 < q
The exponential characteristic is positive.
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
- Assumes
- AddMonoidWithOneExpChar
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.Primeproof · cited by 2,059
- AddMonoidWithOnestatement and proof · cited by 313
- ExpCharstatement and proof · cited by 276
- Nat.Prime.posproof · cited by 83
- expChar_is_prime_or_oneproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- expChar_pow_posproof · cited by 8
- perfectField_iff_splits_of_natSepDegree_eq_oneproof · cited by 1
- Polynomial.roots_expand_image_frobeniusproof · cited by 0