Theorems · Theorem · commutative algebra
char_zero_of_expChar_one
∀ (R : Type u_1) [inst : NonAssocSemiring R] [Nontrivial R] (p : ℕ) [hp : CharP R p] [hq : ExpChar R 1], p = 0
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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nontrivialstatement and proof · cited by 2,416
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- NonAssocSemiringstatement and proof · cited by 805
- CharPstatement and proof · cited by 478
- ExpCharstatement and proof · cited by 276
- ExpChar.casesOnproof · cited by 21
- CharP.eqproof · cited by 9
- CharP.char_ne_oneproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- expChar_one_iff_char_zeroproof · cited by 0