Theorems · Theorem · Lie groups
Submonoid.top_closure_mul_self_eq
∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : Monoid M] [SeparatelyContinuousMul M] (s : Submonoid M),
closure ↑s * closure ↑s = closure ↑s- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 0 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.
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
- Monoidstatement and proof · cited by 3,887
- mul_oneproof · cited by 3,885
- Submonoidstatement and proof · cited by 3,086
- closurestatement and proof · cited by 1,254
- subset_closureproof · cited by 309
- Set.mulstatement · cited by 297
- Set.Subset.antisymmproof · cited by 213
- SeparatelyContinuousMulstatement and proof · cited by 133
- Submonoid.one_memproof · cited by 28
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.