Theorems · Theorem · group theory
Submonoid.FG.sup
∀ {M : Type u_1} [inst : Monoid M] {P Q : Submonoid M}, P.FG → Q.FG → (P ⊔ Q).FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement and proof · cited by 3,086
- Submonoid.closureproof · cited by 167
- Finset.coe_unionproof · cited by 78
- Submonoid.FGstatement and proof · cited by 24
- Submonoid.closure_unionproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.FG.finset_supproof · cited by 1