Theorems · Theorem · functional analysis
WithLp.unitization_norm_inr
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NormedField 𝕜] [inst_1 : NonUnitalNormedRing A] [inst_2 : NormedSpace 𝕜 A]
(x : A), ‖WithLp.toLp 1 ↑x‖ = ‖x‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Realstatement · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- Norm.normstatement and proof · cited by 5,413
- zero_addproof · cited by 2,366
- NormedFieldstatement and proof · cited by 1,084
- norm_zeroproof · cited by 366
- WithLpstatement · cited by 345
- NonUnitalNormedRingstatement and proof · cited by 231
- Unitizationstatement · cited by 220
- Unitization.inrstatement and proof · cited by 109
- WithLp.unitization_norm_defproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- WithLp.unitization_isometry_inrproof · cited by 1