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Theorems · Theorem · field theory

PerfectRing.lift_aux

∀ {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), ∃ y, i y.2 = x ^ p ^ y.1
Defined in
Mathlib.FieldTheory.IsPerfectClosure
Cited by
3 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext
Assumes
CommSemiringCommSemiringIsPRadical
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PerfectRing.liftAux · cited by 6PerfectRing.liftAuxPerfectRing.liftAux_self_apply · cited by 4PerfectRing.liftAux_self_…PerfectRing.liftAux_id_apply · cited by 3PerfectRing.liftAux_id_ap…PerfectRing.liftAux_apply · cited by 2PerfectRing.liftAux_applyDFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomIsPRadical · cited by 34IsPRadicalIsPRadical.pow_mem · cited by 4IsPRadical.pow_memPerfectRing.lift_auxCITED BYCITES

Cites5

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Cited by4

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