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.
- 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.
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.isUnit_iffproof · cited by 4
- PadicInt.mul_invstatement and proof · cited by 2
- PadicInt.mkUnitsproof · cited by 2
- PadicInt.inv_mulstatement and proof · cited by 1