Theorems · Theorem · number theory
PadicInt.isCauSeq_padicNorm_of_pow_dvd_sub
∀ (f : ℕ → ℤ) (p : ℕ) [Fact (Nat.Prime p)], (∀ (i : ℕ), ↑p ^ i ∣ f (i + 1) - f i) → IsCauSeq (padicNorm p) fun x => ↑(f x)
- Defined in
- Mathlib.NumberTheory.Padics.RingHoms
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- sub_selfproof · cited by 996
- LE.le.trans_ltproof · cited by 795
- pow_addproof · cited by 315
- Dvd.dvd.transproof · cited by 148
- Nat.cast_powproof · cited by 131
- IsCauSeqstatement · cited by 91
- padicNormstatement and proof · cited by 83
- sub_add_sub_cancelproof · cited by 56
- ExistsAddOfLE.exists_add_of_leproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- cyclotomicCharacter.toFun_applystatement · cited by 1
- PadicInt.toZModPow_ofIntSeq_of_pow_dvd_substatement and proof · cited by 1