Theorems · Theorem · functional analysis

WithLp.nndist_toLp_fst

∀ (p : ENNReal) (α : Type u_2) (β : Type u_3) [hp : Fact (1 ≤ p)] [inst : SeminormedAddCommGroup α]
  [inst_1 : SeminormedAddCommGroup β] (x₁ x₂ : α), nndist (WithLp.toLp p (x₁, 0)) (WithLp.toLp p (x₂, 0)) = nndist x₁ x₂

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

Assumes

FactSeminormedAddCommGroupSeminormedAddCommGroup