Theorems · Theorem · functional analysis

exist_norm_eq

∀ {α : Type u_1} {γ : Type u_2} [inst : TopologicalSpace α] [inst_1 : NonUnitalNormedRing γ] [c : Nonempty α]
  {f : BoundedContinuousFunction α γ}, f ∈ compactlySupported α γ → ∃ x, ‖f x‖ = ‖f‖

Defined in

Mathlib.Topology.ContinuousMap.BoundedCompactlySupported

Cited by

1 results in Mathlib

Foundations

Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceNonUnitalNormedRingNonempty