Theorems · Definition · functional analysis
Inner.inner
(𝕜 : Type u_4) → {E : Type u_5} → [self : Inner 𝕜 E] → E → E → 𝕜The inner product function.
- Defined in
- Mathlib.Analysis.InnerProductSpace.Defs
- Cited by
- 1,089 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- Inner
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Innerstatement and proof · cited by 14
Cited by1,140
Results whose statement or proof uses this declaration.
- Submodule.orthogonalproof · cited by 257
- InnerProductGeometry.angleproof · cited by 170
- LinearMap.IsSymmetricproof · cited by 121
- Orthonormalproof · cited by 85
- MeasureTheory.charFunproof · cited by 84
- inner_self_eq_norm_sq_to_Kstatement · cited by 72
- inner_smul_rightstatement · cited by 68
- inner_zero_leftstatement and proof · cited by 59
- real_inner_commstatement · cited by 57
- inner_smul_leftstatement · cited by 49
- inner_conj_symmstatement · cited by 48
- OrthogonalFamilyproof · cited by 48
Showing the 200 most cited of 1,140.