Theorems · Theorem · Lie groups
compl_mul_closure_one_eq
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {t : Set G},
t * closure {1} = t → tᶜ * closure {1} = tᶜ- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Groupstatement and proof · cited by 6,238
- Bot.botproof · cited by 4,720
- Compl.complstatement and proof · cited by 2,925
- closurestatement and proof · cited by 1,254
- IsTopologicalGroupstatement and proof · cited by 469
- Set.mulstatement · cited by 297
- Set.Subset.antisymmproof · cited by 213
- mul_inv_cancel_rightproof · cited by 53
- Subgroup.inv_memproof · cited by 40
- Subgroup.topologicalClosureproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- compl_mul_closure_one_eq_iffproof · cited by 2