Theorems · Theorem · functional analysis
RCLike.norm_conj
∀ {K : Type u_1} [inst : RCLike K] (z : K), ‖(starRingEnd K) z‖ = ‖z‖- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Norm.normstatement · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- starRingEndstatement · cited by 671
- Real.sqrtproof · cited by 545
- RCLike.normSqproof · cited by 26
- RCLike.normSq_conjproof · cited by 1
Cited by16
Results whose statement or proof uses this declaration.
- Complex.canonicalFactor_ne_zeroproof · cited by 6
- RCLike.conjLIEproof · cited by 4
- UpperHalfPlane.norm_σproof · cited by 3
- Module.Dual.norm_extendRCLike_le_seminormproof · cited by 3
- InnerProductSpace.Core.norm_inner_symmproof · cited by 2
- UpperHalfPlane.petersson_norm_symmproof · cited by 2
- ModularFormClass.exists_petersson_leproof · cited by 1
- CuspFormClass.exists_boundproof · cited by 1
- RCLike.norm_wInner_leproof · cited by 1
- CStarModule.normedSpaceCoreproof · cited by 1
- RCLike.nnnorm_conjproof · cited by 1
- MeasureTheory.eLpNorm_conjproof · cited by 0