Theorems · Theorem · functional analysis
Complex.reCLM_norm
‖Complex.reCLM‖ = 1
- Defined in
- Mathlib.Analysis.Complex.OperatorNorm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- le_antisymmproof · cited by 2,068
- zero_le_oneproof · cited by 316
- NormOneClass.norm_oneproof · cited by 148
- Complex.reCLMstatement and proof · cited by 46
- LinearMap.mkContinuous_norm_leproof · cited by 16
- Complex.reLmproof · cited by 6
- ContinuousLinearMap.unit_le_opNormproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Complex.reCLM_enormproof · cited by 0
- Complex.reCLM_nnnormproof · cited by 0