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Mathlib.Algebra.CharP.Subring

Characteristic of subrings #

instance CharP.subsemiring (R : Type u) [Semiring R] (p : ) [CharP R p] (S : Subsemiring R) :
CharP (↥S) p
instance CharP.subring (R : Type u) [Ring R] (p : ) [CharP R p] (S : Subring R) :
CharP (↥S) p
instance CharP.subring' (R : Type u) [CommRing R] (p : ) [CharP R p] (S : Subring R) :
CharP (↥S) p
theorem CharP.charP_center_iff {R : Type u} [Ring R] {p : } :
CharP (↥(Subring.center R)) p CharP R p

The characteristic of a division ring is equal to the characteristic of its center