Theorems · Theorem · group theory
FreeMonoid.closure_range_of
∀ {α : Type u_4}, Submonoid.closure (Set.range FreeMonoid.of) = ⊤- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Top.topstatement and proof · cited by 9,680
- Set.rangestatement and proof · cited by 4,705
- Submonoidstatement · cited by 3,086
- Set.mem_range_selfproof · cited by 328
- eq_top_iffproof · cited by 236
- MulMemClass.mul_memproof · cited by 173
- Submonoid.closurestatement and proof · cited by 167
- FreeMonoidstatement and proof · cited by 147
- OneMemClass.one_memproof · cited by 87
- FreeMonoid.ofstatement and proof · cited by 69
- Submonoid.subset_closureproof · cited by 46
- FreeMonoid.recOnproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Monoid.Coprod.mclosure_range_inl_union_inrproof · cited by 3
- FreeMonoid.mrange_liftproof · cited by 2
- Monoid.fg_iff_exists_freeMonoid_hom_surjectiveproof · cited by 1