Theorems · Theorem · Lie groups
compl_add_closure_zero_eq
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {t : Set G},
t + closure {0} = t → tᶜ + closure {0} = 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.
Cites15
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
- Bot.botproof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- Compl.complstatement and proof · cited by 2,925
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- Set.addstatement · cited by 338
- Set.Subset.antisymmproof · cited by 213
- add_neg_cancel_rightproof · cited by 65
- Set.mem_compl_iffproof · cited by 53
- AddSubgroup.neg_memproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- compl_add_closure_zero_eq_iffproof · cited by 2