Theorems · Theorem · complex analysis
Complex.norm_nnratCast
∀ (q : ℚ≥0), ‖↑q‖ = ↑q
- Defined in
- Mathlib.Analysis.Complex.Norm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · cited by 235
- Complex.norm_of_nonnegproof · cited by 20
- NNRat.cast_nonnegproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Complex.nnnorm_nnratCastproof · cited by 0