Theorems · Theorem · complex analysis
Complex.norm_ratCast
∀ (q : ℚ), ‖↑q‖ = |↑q|
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement · cited by 25,697
- Complexstatement · cited by 5,565
- Norm.normstatement · cited by 5,413
- absstatement · cited by 1,814
- Complex.norm_realproof · cited by 105
Cited by3
Results whose statement or proof uses this declaration.
- Rat.infinitePlace_applyproof · cited by 2
- NumberField.norm_norm_le_norm_mul_house_powproof · cited by 0
- NumberField.InfinitePlace.map_ratCastproof · cited by 0