Theorems · Theorem · field theory
PerfectRing.liftEquiv_comp_apply
∀ {K : Type u_1} {L : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing K] [inst_1 : CommRing L]
[inst_2 : CommRing M] [inst_3 : CommRing N] (i : K →+* L) (j : K →+* M) (g : L →+* N) (p : ℕ) [inst_4 : ExpChar M p]
[inst_5 : ExpChar K p] [inst_6 : PerfectRing M p] [inst_7 : IsPRadical i p] [inst_8 : ExpChar L p]
[inst_9 : ExpChar N p] [inst_10 : IsPRadical g p] [inst_11 : IsPRadical (g.comp i) p],
(PerfectRing.liftEquiv M g p) ((PerfectRing.liftEquiv M i p) j) = (PerfectRing.liftEquiv M (g.comp i) p) j- 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.
Cites10
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
- Equivstatement · cited by 8,337
- RingHom.compstatement and proof · cited by 899
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- IsPRadicalstatement and proof · cited by 34
- PerfectRing.liftEquivstatement · cited by 6
- PerfectRing.lift_liftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PerfectRing.liftEquiv_transproof · cited by 0