Theorems · Theorem · functional analysis
Complex.ofRealCLM_norm
‖Complex.ofRealCLM‖ = 1
- Defined in
- Mathlib.Analysis.Complex.OperatorNorm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 5,565
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- Complex.ofRealCLMstatement · cited by 39
- LinearIsometry.norm_toContinuousLinearMapproof · cited by 13
- Complex.ofRealLIproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Complex.ofRealCLM_enormproof · cited by 2
- Complex.ofRealCLM_nnnormproof · cited by 2