Theorems · Theorem · number theory
GaussianInt.norm_eq_zero
∀ {x : GaussianInt}, Zsqrtd.norm x = 0 ↔ x = 0- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Int.cast_zeroproof · cited by 188
- Complex.normSqproof · cited by 103
- GaussianIntstatement and proof · cited by 37
- Zsqrtd.normstatement · cited by 35
- Int.cast_injproof · cited by 22
- GaussianInt.intCast_real_normproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- GaussianInt.norm_posproof · cited by 1