instIsCentralScalarSubtypePreLpMemAddSubgroup

English

Same as 55131: a congruence simplification principle for lp subtype constructions.

Русский

То же, что и 55131: принцип упрощения конгруэнций для constructions lp-subtype.

LaTeX

$$$Eq (lp.instModuleSubtypePreLpMemAddSubgroup congr_simp) (lp.instModuleSubtypePreLpMemAddSubgroup congr_simp)$$$

Lean4

instance [∀ i, Module 𝕜ᵐᵒᵖ (E i)] [∀ i, IsCentralScalar 𝕜 (E i)] : IsCentralScalar 𝕜 (lp E p) :=
  ⟨fun _ _ => Subtype.ext <| op_smul_eq_smul _ _⟩

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