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Theorems · Definition · number theory

PadicInt.inv

{p : ℕ} → [hp : Fact (Nat.Prime p)] → ℤ_[p] → ℤ_[p]

The inverse of a p-adic integer with norm equal to 1 is also a p-adic integer. Otherwise, the inverse is defined to be 0.

Defined in
Mathlib.NumberTheory.Padics.PadicIntegers
Cited by
3 results in Mathlib
Foundations
Depth 175 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.

Cites5

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

  • Norm.normproof · cited by 5,413
  • Factstatement and proof · cited by 2,726
  • Nat.Primestatement and proof · cited by 2,059
  • PadicIntstatement and proof · cited by 179
  • Padicproof · cited by 151

Cited by4

Results whose statement or proof uses this declaration.