Theorems · Theorem · functional analysis
RCLike.norm_sq_re_conj_add
∀ {K : Type u_1} [inst : RCLike K] (x : K), ‖(starRingEnd K) x + x‖ ^ 2 = RCLike.re ((starRingEnd K) x + x) ^ 2- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 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.
Cites11
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 and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Norm.normstatement and proof · cited by 5,413
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- add_commproof · cited by 1,535
- starRingEndstatement and proof · cited by 671
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement and proof · cited by 319
- RCLike.norm_sq_re_add_conjproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.