Theorems · Theorem · group theory
FreeAddMonoid.closure_range_of
∀ {α : Type u_4}, AddSubmonoid.closure (Set.range FreeAddMonoid.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
- AddSubmonoidstatement · cited by 1,178
- Set.mem_range_selfproof · cited by 328
- eq_top_iffproof · cited by 236
- AddMemClass.add_memproof · cited by 229
- AddSubmonoid.closurestatement and proof · cited by 224
- ZeroMemClass.zero_memproof · cited by 162
- FreeAddMonoidstatement and proof · cited by 145
- FreeAddMonoid.ofstatement and proof · cited by 69
- AddSubmonoid.subset_closureproof · cited by 63
- FreeAddMonoid.recOnproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoid.Coprod.mclosure_range_inl_union_inrproof · cited by 3
- FreeAddMonoid.mrange_liftproof · cited by 1
- AddMonoid.fg_iff_exists_freeAddMonoid_hom_surjectiveproof · cited by 1