Theorems · Theorem · field theory
PerfectRing.lift_comp_lift_apply_eq_self
∀ {K : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommRing K] [inst_1 : CommRing L] [inst_2 : CommRing M]
(i : K →+* L) (j : K →+* M) (p : ℕ) [inst_3 : ExpChar M p] [inst_4 : ExpChar K p] [inst_5 : PerfectRing M p]
[inst_6 : IsPRadical i p] [inst_7 : ExpChar L p] [inst_8 : IsPRadical j p] [inst_9 : PerfectRing L p] (x : L),
(PerfectRing.lift j i p) ((PerfectRing.lift i j p) x) = x- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 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.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- IsPRadicalstatement and proof · cited by 34
- PerfectRing.liftstatement · cited by 19
- PerfectRing.lift_comp_lift_applyproof · cited by 2
- PerfectRing.lift_self_applyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsPerfectClosure.equivproof · cited by 13
- PerfectRing.lift_comp_lift_eq_idproof · cited by 0