Theorems · Theorem · Lie groups
subset_mul_closure_one
∀ {G : Type u_1} [inst : MulOneClass G] [inst_1 : TopologicalSpace G] (s : Set G), s ⊆ s * closure {1}- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- closurestatement · cited by 1,254
- MulOneClassstatement and proof · cited by 1,018
- Set.image_congrproof · cited by 533
- subset_closureproof · cited by 309
- Set.mulstatement · cited by 297
- Set.image_id'proof · cited by 86
- Set.mul_singletonproof · cited by 13
- Set.smul_subset_smul_leftproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- IsClosed.mul_closure_one_eqproof · cited by 1
- compl_mul_closure_one_eqproof · cited by 1
- IsCompact.mul_closure_one_eq_closureproof · cited by 0
- MeasureTheory.measure_mul_closure_oneproof · cited by 0