Theorems · Theorem · field theory
PerfectRing.liftAux_self_apply
∀ {K : Type u_1} {L : Type u_2} [inst : CommSemiring K] [inst_1 : CommSemiring L] (i : K →+* L) (p : ℕ)
[inst_2 : IsPRadical i p] [inst_3 : ExpChar L p] [inst_4 : PerfectRing L p] (x : L), PerfectRing.liftAux i i p x = x- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- RingEquiv.symmproof · cited by 567
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- IsPRadicalstatement and proof · cited by 34
- RingEquiv.symm_apply_applyproof · cited by 30
- iterateFrobeniusEquivproof · cited by 28
- PerfectRing.liftAuxstatement · cited by 6
- iterateFrobenius_defproof · cited by 6
- PerfectRing.lift_auxproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- IsPerfectClosure.equiv_self_applyproof · cited by 2
- PerfectRing.lift_self_applyproof · cited by 1
- PerfectRing.lift_selfproof · cited by 0
- PerfectRing.liftAux_selfproof · cited by 0