Theorems · Theorem · commutative algebra
surjective_fontaineTheta
∀ {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],
Function.Surjective ⇑(frobenius (ModP R p) p) → Function.Surjective ⇑(WittVector.fontaineTheta R p)If the Frobenius map is surjective on R/pR, then the Fontaine's θ map is surjective.
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- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
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