Theorems · Theorem · functional analysis
WithLp.norm_toLp_snd
∀ (p : ENNReal) (α : Type u_2) (β : Type u_3) [hp : Fact (1 ≤ p)] [inst : SeminormedAddCommGroup α] [inst_1 : SeminormedAddCommGroup β] (y : β), ‖WithLp.toLp p (0, y)‖ = ‖y‖
- Defined in
- Mathlib.Analysis.Normed.Lp.ProdLp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Norm.normstatement · cited by 5,413
- Factstatement and proof · cited by 2,726
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNReal.toRealproof · cited by 1,260
- WithLpstatement · cited by 345
- WithLp.nnnorm_toLp_inrproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- WithLp.prod_norm_eq_add_idemFstproof · cited by 1
- WithLp.prod_norm_eq_idemFst_sup_idemSndproof · cited by 0