Theorems · Theorem · functional analysis
RCLike.inv_im
∀ {K : Type u_1} [inst : RCLike K] (z : K), RCLike.im z⁻¹ = -RCLike.im z / RCLike.normSq z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 164 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.
Cites17
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
- Norm.normproof · cited by 5,413
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- mul_commproof · cited by 2,262
- MonoidWithZeroHomstatement · cited by 704
- starRingEndproof · cited by 671
- RCLike.ofRealproof · cited by 350
- AddMonoid.toZerostatement · cited by 325
- RCLike.imstatement and proof · cited by 161
- div_eq_inv_mulproof · cited by 146
Cited by3
Results whose statement or proof uses this declaration.
- InnerProductSpaceable.inner_.norm_sqproof · cited by 1
- RCLike.div_improof · cited by 0
- RCLike.div_reproof · cited by 0