Theorems · Theorem · functional analysis
RCLike.real_smul_eq_coe_mul
∀ {K : Type u_1} [inst : RCLike K] (r : ℝ) (z : K), r • z = ↑r * z- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 159 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealstatement · cited by 350
- Algebra.smul_defproof · cited by 287
Cited by8
Results whose statement or proof uses this declaration.
- RCLike.smul_reproof · cited by 4
- LinearMap.IsSymmetric.toMatrix_eigenvectorBasisproof · cited by 2
- RCLike.conj_smulproof · cited by 2
- MeasureTheory.taylorWithinEval_charFun_zeroproof · cited by 1
- RCLike.smul_improof · cited by 1
- RCLike.span_one_Iproof · cited by 1
- Matrix.posSemidef_opNorm_smul_gram_sub_gramproof · cited by 0
- RCLike.real_smul_ofRealproof · cited by 0