Theorems · Theorem · Lie groups
AddSubmonoid.top_closure_add_self_subset
∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : AddMonoid M] [SeparatelyContinuousAdd M] (s : AddSubmonoid M),
closure ↑s + closure ↑s ⊆ closure ↑s- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- closurestatement and proof · cited by 1,254
- AddSubmonoidstatement and proof · cited by 1,178
- Set.addstatement · cited by 338
- SeparatelyContinuousAddstatement and proof · cited by 83
- Set.image2_subset_iffproof · cited by 30
- continuous_const_addproof · cited by 23
- AddSubmonoid.add_memproof · cited by 14
- continuous_add_constproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.top_closure_add_self_eqproof · cited by 0