Theorems · Theorem · commutative algebra
CharP.ringChar_ne_one
∀ {R : Type u_1} [inst : NonAssocSemiring R] [Nontrivial R], ringChar R ≠ 1- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiringNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- NonAssocSemiringstatement and proof · cited by 805
- ringCharstatement · cited by 73
- not_subsingletonproof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Ring.two_ne_zeroproof · cited by 5
- CharP.ringChar_of_prime_eq_zeroproof · cited by 2
- neg_one_eq_one_iffproof · cited by 2