Theorems · Theorem · number theory
Zsqrtd.norm_mul
∀ {d : ℤ} (n m : ℤ√d), (n * m).norm = n.norm * m.norm- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Zsqrtdstatement and proof · cited by 105
- Zsqrtd.improof · cited by 54
- Zsqrtd.reproof · cited by 53
- Zsqrtd.normstatement · cited by 35
Cited by5
Results whose statement or proof uses this declaration.
- Zsqrtd.norm_eq_one_iffproof · cited by 3
- GaussianInt.sq_add_sq_of_nat_prime_of_not_irreducibleproof · cited by 2
- Zsqrtd.normMonoidHomproof · cited by 1
- GaussianInt.norm_le_norm_mul_leftproof · cited by 1
- Zsqrtd.norm_eq_of_associatedproof · cited by 0