Theorems · Theorem · general topology
derivedSet_mono
∀ {X : Type u_1} [inst : TopologicalSpace X] (A B : Set X), A ⊆ B → derivedSet A ⊆ derivedSet B- Defined in
- Mathlib.Topology.DerivedSet
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filter.le_principal_iffproof · cited by 87
- derivedSetstatement and proof · cited by 16
- Filter.mem_principalproof · cited by 10
- AccPt.monoproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- derivedSet_closureproof · cited by 1
- IsPreconnected.inter_derivedSet_nonemptyproof · cited by 0
- isClosed_derivedSetproof · cited by 0