ContinuousMap.inf_mem_closed_subalgebra

∀ {X : Type u_1} [inst : TopologicalSpace X] [CompactSpace X] (A : Subalgebra ℝ C(X, ℝ)),
  IsClosed ↑A → ∀ (f g : ↥A), ↑f ⊓ ↑g ∈ A

Defined in: Mathlib.Topology.ContinuousMap.StoneWeierstrass
Cited by: 1 results in Mathlib
Foundations: Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace CompactSpace

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