Theorems · Theorem · commutative algebra
Perfection.lift_symm_apply
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] (R : Type u₁) [inst : CommSemiring R] [inst_1 : CharP R p] [inst_2 : PerfectRing R p] (S : Type u₂) [inst_3 : CommSemiring S] [inst_4 : CharP S p] (f : R →+* Perfection S p), (Perfection.lift p R S).symm f = (Perfection.coeff S p 0).comp f
- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingHom.compstatement · cited by 899
- CharPstatement and proof · cited by 478
- PerfectRingstatement and proof · cited by 154
- Perfectionstatement and proof · cited by 84
- Perfection.coeffstatement · cited by 51
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