Theorems · Theorem · field theory
PerfectRing.liftEquiv_symm_apply
∀ {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) (f : L →+* 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.liftEquiv M i p).symm f = f.comp i- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Equiv.symmstatement · cited by 3,681
- RingHom.compstatement · 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
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