Theorems · Theorem · commutative algebra
PerfectionMap.id
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] (R : Type u₁) [inst_1 : CommSemiring R] [inst_2 : CharP R p] [inst_3 : PerfectRing R p], PerfectionMap p (RingHom.id R)
For a perfect ring, it itself is the perfection.
- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.iterateproof · cited by 740
- RingEquiv.symmproof · cited by 567
- CharPstatement and proof · cited by 478
- PerfectRingstatement and proof · cited by 154
- Function.iterate_succ_apply'proof · cited by 72
- frobeniusEquivproof · cited by 48
- PerfectionMapstatement · cited by 16
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.