Theorems · Theorem · functional analysis
RCLike.conj_re
∀ {K : Type u_1} [inst : RCLike K] (z : K), RCLike.re ((starRingEnd K) z) = RCLike.re z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 10 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.restatement · cited by 319
- RCLike.conj_re_axproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- RCLike.conj_ofRealproof · cited by 18
- RCLike.mul_conjproof · cited by 10
- norm_add_sqproof · cited by 5
- inner_re_symmproof · cited by 3
- RCLike.inv_reproof · cited by 3
- RCLike.normSq_addproof · cited by 1
- RCLike.normSq_conjproof · cited by 1
- eq_of_norm_le_re_inner_eq_norm_sqproof · cited by 1
- InnerProductSpace.Core.inner_re_symmproof · cited by 1
- RCLike.toStarOrderedRingproof · cited by 0