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Theorems · Theorem · number theory

PadicInt.norm_p

∀ {p : ℕ} [hp : Fact (Nat.Prime p)], ‖↑p‖ = (↑p)⁻¹
Defined in
Mathlib.NumberTheory.Padics.PadicIntegers
Cited by
2 results in Mathlib
Foundations
Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PadicInt.p_nonunit · cited by 1PadicInt.p_nonunitPadicInt.norm_p_pow · cited by 0PadicInt.norm_p_powReal · cited by 25697RealNorm.norm · cited by 5413Norm.normFact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimePadicInt · cited by 179PadicIntPadic.norm_p · cited by 5Padic.norm_pPadicInt.norm_pCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.