Theorems · Theorem · functional analysis
mem_compactlySupported
∀ {α : Type u_1} {γ : Type u_2} [inst : TopologicalSpace α] [inst_1 : NonUnitalNormedRing γ]
{f : BoundedContinuousFunction α γ}, f ∈ compactlySupported α γ ↔ HasCompactSupport ⇑f- Cited by
- 3 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.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredproof · cited by 6,101
- BoundedContinuousFunctionstatement and proof · cited by 511
- NonUnitalNormedRingstatement and proof · cited by 231
- HasCompactSupportstatement and proof · cited by 196
- TwoSidedIdealstatement · cited by 151
- compactlySupportedstatement · cited by 8
- HasCompactSupport.addproof · cited by 3
- TwoSidedIdeal.mem_mk'proof · cited by 3
- HasCompactSupport.mul_leftproof · cited by 2
- HasCompactSupport.mul_rightproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- exist_norm_eqproof · cited by 1
- ofCompactSupport_memproof · cited by 0
- compactlySupported_eq_top_iffproof · cited by 0