Theorems · Theorem · functional analysis
RCLike.add_conj
∀ {K : Type u_1} [inst : RCLike K] (z : K), z + (starRingEnd K) z = 2 * ↑(RCLike.re z)- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 163 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.
Cites15
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
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- starRingEndstatement and proof · cited by 671
- RCLike.ofRealstatement and proof · cited by 350
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement and proof · cited by 319
- two_mulproof · cited by 232
- RCLike.improof · cited by 161
- RCLike.Iproof · cited by 100
Cited by3
Results whose statement or proof uses this declaration.
- RCLike.norm_sq_re_add_conjproof · cited by 1
- RCLike.re_eq_add_conjproof · cited by 1
- ContinuousLinearMap.norm_eq_iSup_rayleighQuotientproof · cited by 0