Theorems · Theorem · functional analysis
WithLp.nnnorm_toLp_inl
∀ (p : ENNReal) (α : Type u_2) (β : Type u_3) [hp : Fact (1 ≤ p)] [inst : SeminormedAddCommGroup α] [inst_1 : SeminormedAddCommGroup β] (x : α), ‖WithLp.toLp p (x, 0)‖₊ = ‖x‖₊
- Defined in
- Mathlib.Analysis.Normed.Lp.ProdLp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- NNNorm.nnnormstatement and proof · cited by 952
- LT.lt.trans_leproof · cited by 678
Cited by2
Results whose statement or proof uses this declaration.
- WithLp.norm_toLp_fstproof · cited by 2
- WithLp.nndist_toLp_fstproof · cited by 2