Theorems · Theorem · field theory
PerfectRing.lift_comp
∀ {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], (PerfectRing.lift i j p).comp i = j- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 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.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement · cited by 899
- RingHom.extproof · cited by 331
- 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_applyproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- PerfectRing.liftEquivproof · cited by 6
- PerfectRing.lift_liftproof · cited by 2
- PerfectRing.lift_comp_liftproof · cited by 1
- PerfectRing.comp_liftproof · cited by 1