Theorems · Theorem · commutative algebra
ringExpChar.eq
∀ (R : Type u_1) [inst : NonAssocSemiring R] (q : ℕ) [h : ExpChar R q], ringExpChar R = q
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiringExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.leproof · cited by 2,189
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- NonAssocSemiringstatement and proof · cited by 805
- CharPproof · cited by 478
- ExpCharstatement and proof · cited by 276
- Nat.Prime.one_ltproof · cited by 118
- ringExpCharstatement · cited by 27
- ExpChar.casesOnproof · cited by 21
- ringChar.eqproof · cited by 6
Cited by15
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_le_of_pow_memproof · cited by 3
- mem_perfectClosure_iff_pow_memproof · cited by 2
- perfectField_of_perfectClosure_eq_botproof · cited by 1
- IsPurelyInseparable.elemExponent_def'proof · cited by 0
- IsPurelyInseparable.algebraMap_elemReduct_eq'proof · cited by 0
- IsPurelyInseparable.elemExponent_le_of_pow_mem'proof · cited by 0
- IsPurelyInseparable.elemExponent_min'proof · cited by 0
- IsPurelyInseparable.minpoly_eq'proof · cited by 0
- ringExpChar.eq_iffproof · cited by 0
- IsPurelyInseparable.minpoly_natDegree_eq'proof · cited by 0
- IsPurelyInseparable.exponent_def'proof · cited by 0
- IsPurelyInseparable.exponent_min'proof · cited by 0