Theorems · Theorem · commutative algebra
expChar_one_of_char_zero
∀ (R : Type u_1) [inst : AddMonoidWithOne R] (q : ℕ) [hp : CharP R 0] [hq : ExpChar R q], q = 1
The exponential characteristic is one if the characteristic is zero.
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- AddMonoidWithOneCharPExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- CharPstatement and proof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
- ExpCharstatement and proof · cited by 276
- Nat.Prime.ne_zeroproof · cited by 109
- ExpChar.casesOnproof · cited by 21
- CharP.eqproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- expChar_one_iff_char_zeroproof · cited by 0