Theorems · Theorem · commutative algebra
Perfection.mk_comp_teichmuller
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] {R : Type u_1} [inst_1 : CommRing R] (I : Ideal R) [inst_2 : CharP (R ⧸ I) p]
[inst_3 : IsAdicComplete I R],
(↑(Ideal.Quotient.mk I)).comp (Perfection.teichmuller p I) = ↑(Perfection.coeff (R ⧸ I) p 0)- Defined in
- Mathlib.RingTheory.Teichmuller
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- MonoidHomstatement · cited by 3,629
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- Ideal.Quotient.mkstatement · cited by 610
- CharPstatement and proof · cited by 478
- MonoidHom.compstatement · cited by 469
- MonoidHomClass.toMonoidHomstatement · cited by 294
- IsAdicCompletestatement and proof · cited by 124
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