Theorems · Theorem · field theory
IsPRadical.pow_mem
∀ {K : Type u_1} {L : Type u_2} [inst : CommSemiring K] [inst_1 : CommSemiring L] (i : K →+* L) (p : ℕ) [IsPRadical i p]
(x : L), ∃ n y, i y = x ^ p ^ n- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- IsPRadicalstatement and proof · cited by 34
- IsPRadical.pow_mem'proof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- PerfectRing.lift_auxproof · cited by 3
- IsPRadical.injective_comp_of_pNilradical_eq_botproof · cited by 2
- IsPRadical.isPurelyInseparableproof · cited by 0
- IsPRadical.transproof · cited by 0