Theorems · Theorem · commutative algebra
Perfection.exists_teichmullerFun
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {R : Type u_1} [inst_1 : CommRing R] {I : Ideal R} [inst_2 : CharP (R ⧸ I) p]
[IsPrecomplete I R] (x : Perfection (R ⧸ I) p), ∃ y, ∀ (n : ℕ), x.teichmullerAux n ≡ y [SMOD I ^ n • ⊤]- Defined in
- Mathlib.RingTheory.Teichmuller
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Top.topstatement · cited by 9,680
- Idealstatement and proof · cited by 4,748
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- Perfectionstatement and proof · cited by 84
- SModEqstatement · cited by 80
- IsPrecompletestatement and proof · cited by 29
- Perfection.teichmullerAuxstatement and proof · cited by 4
- IsPrecomplete.prec'proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Perfection.teichmullerFunproof · cited by 4
- Perfection.teichmullerFun_sModEqproof · cited by 3