Theorems · Theorem · functional analysis
Complex.ofRealCLM_nnnorm
‖Complex.ofRealCLM‖₊ = 1
- Defined in
- Mathlib.Analysis.Complex.OperatorNorm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 172 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
- ContinuousLinearMapstatement · cited by 5,352
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- Complex.ofRealCLMstatement · cited by 39
- Complex.ofRealCLM_normproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.one_div_sub_pow_hasFPowerSeriesOnBall_zeroproof · cited by 2
- Real.one_div_one_sub_rpow_hasFPowerSeriesOnBall_zeroproof · cited by 0