Theorems · Definition · commutative algebra
ringChar
(R : Type u_1) → [NonAssocSemiring R] → ℕ
Noncomputable function that outputs the unique characteristic of a semiring.
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 73 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocSemiringstatement and proof · cited by 805
- CharP.existsUniqueproof · cited by 2
Cited by76
Results whose statement or proof uses this declaration.
- ringExpCharproof · cited by 27
- ZMod.ringChar_zmod_nstatement · cited by 9
- ringChar.specstatement and proof · cited by 7
- ringChar.eqstatement · cited by 6
- ringChar.eq_iffstatement · cited by 6
- ringChar.of_eqstatement and proof · cited by 6
- FiniteField.odd_card_of_char_ne_twostatement and proof · cited by 6
- Ring.two_ne_zerostatement and proof · cited by 5
- quadraticChar_neg_onestatement and proof · cited by 5
- Ring.neg_one_ne_one_of_char_ne_twostatement and proof · cited by 5
- orderOf_neg_onestatement and proof · cited by 5
- ringChar.eq_zerostatement · cited by 4