Theorems · Theorem · group theory
Monoid.FG.fg_top
∀ {M : Type u_1} {inst : Monoid M} [self : Monoid.FG M], ⊤.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid.FG
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Submonoid.FGstatement · cited by 24
- Monoid.FGstatement and proof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- Monoid.fg_iff_submonoid_fgproof · cited by 2
- Monoid.fg_defproof · cited by 2
- Monoid.fg_iffproof · cited by 1
- Monoid.fg_iff_add_fgproof · cited by 1
- Submonoid.exists_minimal_closure_eq_topproof · cited by 1
- finite_irreducibleproof · cited by 0
- AddMonoid.fg_iff_mul_fgproof · cited by 0