Theorems · Theorem · functional analysis
ofCompactSupport_mem
∀ {α : Type u_1} {γ : Type u_2} [inst : TopologicalSpace α] [inst_1 : NonUnitalNormedRing γ] (g : α → γ)
(hg₁ : Continuous g) (hg₂ : HasCompactSupport g), ofCompactSupport g hg₁ hg₂ ∈ compactlySupported α γ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement and proof · cited by 2,592
- BoundedContinuousFunctionstatement · cited by 511
- NonUnitalNormedRingstatement and proof · cited by 231
- HasCompactSupportstatement and proof · cited by 196
- TwoSidedIdealstatement · cited by 151
- compactlySupportedstatement · cited by 8
- mem_compactlySupportedproof · cited by 3
- ofCompactSupportstatement · cited by 1
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