Theorems · Definition · functional analysis
compactlySupported
(α : Type u_1) →
(γ : Type u_2) →
[inst : TopologicalSpace α] → [inst_1 : NonUnitalNormedRing γ] → TwoSidedIdeal (BoundedContinuousFunction α γ)The two-sided ideal of compactly supported functions.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.ofPredproof · cited by 6,101
- BoundedContinuousFunctionstatement and proof · cited by 511
- NonUnitalNormedRingstatement and proof · cited by 231
- HasCompactSupportproof · cited by 196
- TwoSidedIdealstatement · cited by 151
- TwoSidedIdeal.mk'proof · cited by 8
Cited by8
Results whose statement or proof uses this declaration.
- mem_compactlySupportedstatement · cited by 3
- compactlySupported_eq_top_of_isCompactstatement · cited by 2
- norm_lt_iff_of_compactlySupportedstatement and proof · cited by 1
- exist_norm_eqstatement and proof · cited by 1
- norm_lt_iff_of_nonempty_compactlySupportedstatement and proof · cited by 0
- ofCompactSupport_memstatement · cited by 0
- compactlySupported_eq_topstatement · cited by 0
- compactlySupported_eq_top_iffstatement and proof · cited by 0