Theorems · Theorem · commutative algebra
Perfection.mk_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] (x : Perfection (R ⧸ I) p),
(Ideal.Quotient.mk I) ((Perfection.teichmuller p I) x) = (Perfection.coeff (R ⧸ I) p 0) x- Defined in
- Mathlib.RingTheory.Teichmuller
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- 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
- zero_addproof · cited by 2,366
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Ideal.Quotient.mkstatement and proof · cited by 610
Cited by5
Results whose statement or proof uses this declaration.
- Perfection.mk_comp_teichmuller'proof · cited by 1
- PreTilt.mk_untilt_eq_coeff_zeroproof · cited by 1
- Perfection.mk_comp_teichmullerproof · cited by 0
- Perfection.mk_comp_teichmuller₀proof · cited by 0
- Perfection.mk_teichmuller₀proof · cited by 0