Theorems · Theorem · functional analysis
compactlySupported_eq_top_of_isCompact
∀ {α : Type u_1} {γ : Type u_2} [inst : TopologicalSpace α] [inst_1 : NonUnitalNormedRing γ],
IsCompact Set.univ → compactlySupported α γ = ⊤- Cited by
- 2 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topstatement and proof · cited by 9,680
- Set.univstatement and proof · cited by 3,945
- IsCompactstatement and proof · cited by 1,282
- BoundedContinuousFunctionstatement and proof · cited by 511
- eq_top_iffproof · cited by 236
- NonUnitalNormedRingstatement and proof · cited by 231
- Set.subset_univproof · cited by 228
- tsupportproof · cited by 178
- TwoSidedIdealstatement · cited by 151
- IsCompact.of_isClosed_subsetproof · cited by 67
Cited by2
Results whose statement or proof uses this declaration.
- compactlySupported_eq_topproof · cited by 0
- compactlySupported_eq_top_iffproof · cited by 0