Theorems · Theorem · general topology
HasCompactMulSupport.comp_isClosedEmbedding
∀ {α : Type u_2} {α' : Type u_3} {β : Type u_4} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace α']
[inst_2 : One β] {f : α → β},
HasCompactMulSupport f → ∀ {g : α' → α}, Topology.IsClosedEmbedding g → HasCompactMulSupport (f ∘ g)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.preimageproof · cited by 4,946
- IsCompactproof · cited by 1,282
- closureproof · cited by 1,254
- Function.mulSupportproof · cited by 240
- Topology.IsClosedEmbeddingstatement and proof · cited by 195
- isClosed_closureproof · cited by 195
- closure_monoproof · cited by 133
- Set.preimage_monoproof · cited by 95
- Set.image_preimage_subsetproof · cited by 75
- IsCompact.of_isClosed_subsetproof · cited by 67
Cited by1
Results whose statement or proof uses this declaration.
- HasCompactMulSupport.comp_homeomorphproof · cited by 1