Theorems · Theorem · commutative algebra
Perfection.teichmuller_zero
∀ {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], (Perfection.teichmuller p I) 0 = 0- Defined in
- Mathlib.RingTheory.Teichmuller
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- 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
- map_zeroproof · cited by 1,614
- Ideal.Quotient.mkproof · cited by 610
- CharPstatement and proof · cited by 478
- MonoidWithZeroproof · cited by 456
- zero_powproof · cited by 361
Cited by1
Results whose statement or proof uses this declaration.
- Perfection.teichmuller₀proof · cited by 12