Theorems · Theorem · functional analysis
compactlySupported_eq_top_iff
∀ {α : Type u_1} {γ : Type u_2} [inst : TopologicalSpace α] [inst_1 : NonUnitalNormedRing γ] [Nontrivial γ],
compactlySupported α γ = ⊤ ↔ IsCompact Set.univ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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
- Top.topstatement and proof · cited by 9,680
- Set.univstatement · cited by 3,945
- Nontrivialstatement and proof · cited by 2,416
- IsCompactstatement and proof · cited by 1,282
- closureproof · cited by 1,254
- Function.supportproof · cited by 610
- BoundedContinuousFunctionstatement and proof · cited by 511
- NonUnitalNormedRingstatement and proof · cited by 231
- TwoSidedIdealstatement · cited by 151
- IsClosed.closure_eqproof · cited by 139
- exists_neproof · cited by 101
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