Theorems · Theorem · number theory
Padic.nonarchimedean
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q r : ℚ_[p]), ‖q + r‖ ≤ max ‖q‖ ‖r‖- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Padicstatement and proof · cited by 151
- padicNormEproof · cited by 18
- padicNormE.nonarchimedean'proof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Padic.le_valuation_addproof · cited by 2
- PadicInt.exists_mem_rangeproof · cited by 1
- PadicInt.nonarchimedeanproof · cited by 1
- Padic.padicNormE_lim_leproof · cited by 0