Theorems · Theorem · number theory
Padic.norm_p_lt_one
∀ {p : ℕ} [hp : Fact (Nat.Prime p)], ‖↑p‖ < 1- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Fact.outproof · cited by 328
- Padicstatement · cited by 151
- Nat.Prime.one_ltproof · cited by 118
- inv_lt_one_of_one_lt₀proof · cited by 20
- Padic.norm_pproof · cited by 5
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