Theorems · Theorem · commutative algebra
ExpChar.exists
∀ (R : Type u_1) [inst : Ring R] [IsDomain R], ∃ q, ExpChar R q
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Ringstatement and proof · cited by 7,463
- Factproof · cited by 2,726
- IsDomainstatement and proof · cited by 2,196
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- CharPproof · cited by 478
- ExpCharstatement · cited by 276
- CharP.exists'proof · cited by 2
- Fact.casesOnproof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- IsPurelyInseparable.elemExponent_le_of_pow_memproof · cited by 3
- IsPurelyInseparable.tower_topproof · cited by 3
- Algebra.trace_eq_zero_of_not_isSeparableproof · cited by 2
- LinearIndependent.map_of_isPurelyInseparable_of_isSeparableproof · cited by 1
- perfectField_iff_splits_of_natSepDegree_eq_oneproof · cited by 1
- isPurelyInseparable_iff_natSepDegree_eq_oneproof · cited by 1
- JacobsonNoether.exists_separable_and_not_isCentralproof · cited by 1
- IsPurelyInseparable.transproof · cited by 1
- ExpChar.exists_uniqueproof · cited by 0
- Irreducible.natSepDegree_dvd_natDegreeproof · cited by 0