Theorems · Theorem · number theory
Padic.padicNormE.mul
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q r : ℚ_[p]), ‖q * r‖ = ‖q‖ * ‖r‖- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- map_mulproof · cited by 1,137
- Padicstatement and proof · cited by 151
- Rat.cast_mulproof · cited by 19
- padicNormEproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Padic.norm_intCast_lt_one_iffproof · cited by 3
- PadicInt.isUnit_denproof · cited by 3