Theorems · Theorem · commutative algebra
WittVector.fontaineThetaModPPow_teichmuller
∀ {R : Type u} [inst : CommRing R] {p : ℕ} [inst_1 : Fact (Nat.Prime p)] [inst_2 : Fact ¬IsUnit ↑p]
[inst_3 : IsAdicComplete (Ideal.span {↑p}) R] (n : ℕ) (x : PreTilt R p),
(WittVector.fontaineThetaModPPow R p n) ((WittVector.teichmuller p) x) =
(Ideal.Quotient.mk (Ideal.span {↑p} ^ (n + 1))) (PreTilt.untilt x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Idealstatement · cited by 4,748
- MonoidHomstatement · cited by 3,629
- Factstatement and proof · cited by 2,726
- zero_addproof · cited by 2,366
- HasQuotient.Quotientstatement · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement and proof · cited by 1,602
- Ideal.spanstatement and proof · cited by 948
Cited by1
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- WittVector.fontaineTheta_teichmullerproof · cited by 0