Theorems · Theorem · number theory
PadicInt.toZModPow_ofIntSeq_of_pow_dvd_sub
∀ (f : ℕ → ℤ) (p : ℕ) [inst : Fact (Nat.Prime p)] (hi : ∀ (i : ℕ), ↑p ^ i ∣ f (i + 1) - f i) (n : ℕ), (PadicInt.toZModPow n) (PadicInt.ofIntSeq f ⋯) = ↑(f n)
- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites49
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
- Realproof · cited by 25,697
- RingHomstatement · cited by 10,189
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- Factstatement and proof · cited by 2,726
- zero_addproof · cited by 2,366
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- le_rflproof · cited by 1,558
Cited by1
Results whose statement or proof uses this declaration.
- cyclotomicCharacter.toZModPow_toFunproof · cited by 2