Theorems · Theorem · functional analysis
RCLike.re_mul_ofReal
∀ {K : Type u_1} [inst : RCLike K] (z : K) (r : ℝ), RCLike.re (z * ↑r) = RCLike.re z * r- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 1 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.
Cites9
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
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- mul_commproof · cited by 2,262
- RCLike.ofRealstatement and proof · cited by 350
- AddMonoid.toZerostatement · cited by 325
- RCLike.restatement and proof · cited by 319
- RCLike.re_ofReal_mulproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.norm_eq_iSup_rayleighQuotientproof · cited by 0