Theorems · Theorem · general topology
UniformSpace.ball_subset_of_comp_subset
∀ {β : Type ub} {V W : Set (β × β)} {x y : β},
x ∈ UniformSpace.ball y W → SetRel.comp W W ⊆ V → UniformSpace.ball x W ⊆ UniformSpace.ball y V- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SetRelstatement · cited by 581
- SetRel.compstatement and proof · cited by 136
- UniformSpace.ballstatement and proof · cited by 113
- UniformSpace.mem_ball_compproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ball_subset_of_memproof · cited by 2