Theorems · Definition · number theory
fontaineThetaInvertP
(R : Type u) →
[inst : CommRing R] →
(p : ℕ) →
[inst_1 : Fact (Nat.Prime p)] →
[inst_2 : Fact ¬IsUnit ↑p] →
[IsAdicComplete (Ideal.span {↑p}) R] → Localization.Away ↑p →+* Localization.Away ↑pThe Fontaine's θ map inverting p. Note that if p = 0 in R, then this is the zero map.
- Defined in
- Mathlib.RingTheory.Perfectoid.BDeRham
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement and proof · cited by 1,602
- Ideal.spanstatement and proof · cited by 948
- RingHom.compproof · cited by 899
- Submonoid.powersstatement · cited by 408
- WittVectorstatement · cited by 227
- Localization.Awaystatement and proof · cited by 162
Cited by2
Results whose statement or proof uses this declaration.
- BDeRhamproof · cited by 0
- BDeRhamPlusproof · cited by 0