Theorems · Theorem · number theory
PadicInt.inv_mul
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {z : ℤ_[p]}, ‖z‖ = 1 → z.inv * z = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 178 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.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- mul_commproof · cited by 2,262
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement and proof · cited by 179
- PadicInt.invstatement and proof · cited by 3
- PadicInt.mul_invproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.isUnit_iffproof · cited by 4
- PadicInt.mkUnitsproof · cited by 2