Theorems · Theorem · functional analysis
RCLike.conj_im
∀ {K : Type u_1} [inst : RCLike K] (z : K), RCLike.im ((starRingEnd K) z) = -RCLike.im z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 97 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 · 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 · cited by 671
- AddMonoid.toZerostatement · cited by 325
- RCLike.imstatement · cited by 161
- RCLike.conj_im_axproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- RCLike.conj_ofRealproof · cited by 18
- RCLike.mul_conjproof · cited by 10
- RCLike.inv_improof · cited by 3
- RCLike.normSq_addproof · cited by 1
- RCLike.normSq_conjproof · cited by 1
- RCLike.toStarOrderedRingproof · cited by 0
- InnerProductSpace.Core.inner_im_symmproof · cited by 0
- inner_im_symmproof · cited by 0