Theorems · Theorem · functional analysis
RCLike.conj_ofReal
∀ {K : Type u_1} [inst : RCLike K] (r : ℝ), (starRingEnd K) ↑r = ↑r- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 161 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.
Cites12
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
- RCLikestatement and proof · cited by 2,829
- starRingEndstatement · cited by 671
- neg_zeroproof · cited by 542
- RCLike.ofRealstatement and proof · cited by 350
- RCLike.reproof · cited by 319
- RCLike.ofReal_improof · cited by 41
- RCLike.ext_iffproof · cited by 13
- RCLike.conj_reproof · cited by 10
- RCLike.conj_improof · cited by 8
Cited by19
Results whose statement or proof uses this declaration.
- RCLike.is_real_TFAEproof · cited by 5
- RCLike.conjAeproof · cited by 3
- RCLike.conj_eq_re_sub_improof · cited by 3
- inner_smul_real_leftproof · cited by 2
- Submodule.smul_starProjection_singletonproof · cited by 2
- InnerProductSpace.Core.inner_smul_ofReal_leftproof · cited by 2
- InnerProductSpaceable.inner_.conj_symmproof · cited by 1
- ContinuousLinearMap.isPositive_iff_eq_sum_rankOneproof · cited by 1
- InnerProductSpace.Core.cauchy_schwarz_auxproof · cited by 1
- CFC.abs_smulproof · cited by 1
- InnerProductSpace.gramSchmidtNormed_orthonormal'proof · cited by 1